A method of preparing a composite catalyst, the method comprising: combining a catalyst support material, zeolite particles, a triblock copolymer surfactant, a catalytically active compound precursor, and a diluent to produce a catalyst precursor composition; mixing the catalyst precursor composition to produce a catalyst precursor mixture in which the catalyst support material and the zeolite particles are suspended in the diluent; spray drying the catalyst precursor mixture, where spray drying comprises: atomizing the catalyst precursor mixture to produce a plurality of droplets; and drying the plurality of droplets in a drying chamber, where drying removes the diluent from each of the plurality of droplets to form agglomerates comprising the zeolite particles at least partially secured within the catalyst support material and causes the catalytically active compound precursor to react to form a catalytically active compound deposited on outer surfaces and pore surfaces of the catalyst support material, the zeolite particles, or both; removing a first composite catalyst from the drying chamber at a first outlet disposed at a bottom of the drying chamber; and removing a second composite catalyst from the drying chamber at a second outlet upstream of the first outlet, where the second composite catalyst has an average particle size or a density less than an average particle size or a density, respectively, of the first composite catalyst. combining a catalyst support material, zeolite particles, a triblock copolymer surfactant, a catalytically active compound precursor, and a diluent to produce a catalyst precursor composition; mixing the catalyst precursor composition to produce a catalyst precursor mixture in which the catalyst support material and the zeolite particles are suspended in the diluent; spray drying the catalyst precursor mixture, where spray drying comprises: atomizing the catalyst precursor mixture to produce a plurality of droplets; and drying the plurality of droplets in a drying chamber, where drying removes the diluent from each of the plurality of droplets to form agglomerates comprising the zeolite particles at least partially secured within the catalyst support material and causes the catalytically active compound precursor to react to form a catalytically active compound deposited on outer surfaces and pore surfaces of the catalyst support material, the zeolite particles, or both; atomizing the catalyst precursor mixture to produce a plurality of droplets; and drying the plurality of droplets in a drying chamber, where drying removes the diluent from each of the plurality of droplets to form agglomerates comprising the zeolite particles at least partially secured within the catalyst support material and causes the catalytically active compound precursor to react to form a catalytically active compound deposited on outer surfaces and pore surfaces of the catalyst support material, the zeolite particles, or both; removing a first composite catalyst from the drying chamber at a first outlet disposed at a bottom of the drying chamber; and removing a second composite catalyst from the drying chamber at a second outlet upstream of the first outlet, where the second composite catalyst has an average particle size or a density less than an average particle size or a density, respectively, of the first composite catalyst.