Instruction: Given a question and the related document, and generate the answer to the question based on the information provided in the document.

Input:
Question: I read about some instances where certain ball heads don't fit certain tripod legs.  Does the SiruiK40X fit the Induro 313?
Document: I bought this on the recommendation I read in an online magazine and this head does not disappoint. The ball is large and locks down solidly. You'd expect a ball-head of this quality to sell for a bit more. This really is a fine piece of gear.
I bought this ball-head on the strength of DPReview ([...]). In fact, my experience has been even better than that of DPReview --  the reviewer noted two small fit-and-finish issues (angled bubble levels and poorly fitting rubber grip on main control knob), but my K-40X had neither of these small defects, nor any imperfections of any sort.
I generally don't love ball heads, but I love this one. It really is a quality piece of gear, rock solid and simple. Pan function is smooth too. Nice...
And there are ball heads out there that are aesthetically in a league of their own.But in my very humble opinion, none are much better - if at all - overall. From concept to construct this product is so well balanced (obviously a clean-slate design) that I can find nothing that seems out of place or obvious short-cuts. The only cost-cutting measure I've found is the packaging. And even here it's minimalistic and obviously green. How can one complain?
I really can't say much more because - it's perfect. If you as many, hate ball heads, the reason is that there are few out there like this. You will love ball heads after using this one! The friction control for the lock knob as set at the factory is perfect. I've played with it - mostly to play with it and feel how it worked. I was positive - like many I've used it wouldn't be particularly easy to turn, or too easy.
Every part is really nicely machined and every surface is smooth as silk. I've never owned nor used any RSS ball-heads, so I can't comment or compare the two, but DPReview gave this K-40X a higher rating than the vaunted RSS BH-55 (whose cost is more than double the Sirui).I'm using the K-40X on a Gitzo GT2541.
Could be slightly lower profile- QR quick lever not available- Panning QR base also not an option- Logo appears screened on, not etched or a plaque- Packaging & presentation could be betterBottom line:I believe there are ball heads out there that are more attractive. There are ball heads out there with better specs. There are ball heads out there with more features. There are ball heads out there that are functionally identical - or even superior.
Now, I completely believe that in a controlled test in a certain way this ball head is completely capable of locking down 77 some odd lbs (or the more typical and almost *realistic* rating of 45-50 lbs.). No doubt. But I'd also guess there's a lot more to this controlled test than putting heavy equipment onto a a QR plate on a ball head. There's a tiny little neck between the rated ball and the plate holding the camera.
Works great very smooth and stable, I have a siri heavy duty tripod and this head works great and is very stable for use on my 60x spotting scope
This might be one of my few complaints about the K-40X, I would prefer the numbers run sequentially all the way up to 360 (345 in number) so I can tell where I am anywhere on the line. While I don't usually use it this way I can certainly see a time for this need. If panning precision is paramount, then look elsewhere.The window is just wide enough to read one of the other numbers so you can tell which way you're going.
Answer: It should fit onto the tripod stud- an adapter is included. The diameter of the base of the ballhead and the diameter of the tripod mounting area may not be a match, but that usually does not affect the use of either.