Use the this table for your guide. Once you figure out the progressions, memorize these progressions in the key of F major and the relative minor for the key of F which would be Dm. While playing the progressions above, notice how each progression resolves back to the Am. Also notice how it really wants to go to the C chord. The reason why it wants to go to the C chord is because C is the relative major to Am.
C major has the more dominant cadence.
Notice that the Am cadence is not as conclusive as the C major cadence. The C major cadence gives more closure. To solve this problem the 7th note in the key of Am is raised. This will make the Em an E major chord and create more of a closure. It would also be the harmonic minor scale.