Since the Front Squat doesn't allow a forward lean, it forces
the anterior side of your thigh to work harder.
Once the weight gets heavy in the Back Squat, which can be towards the end of the set, when exhaustion increases or when you are approaching maximum weights (1RM, 2RM or 3RM) you can see the athlete leaning forward and allowing the posterior side of the thigh to assist in the movement and consequently taking a bit of load from
the anterior side of the thighs.
Due to the more upright upper body posture, the Front Squat focusses strongly on the muscles on
the anterior side of the thighs, the quads or quadriceps (the quadriceps consists of a group of four muscles, the vastus lateralis, the vastus medialis, the vastus intermedius and the rectus femoris).
Not exact matches
This particular sequence goes through: ITB's, hamstrings, glutes then repeat on opposite leg; calves together (you can roll them individually when that gets easy by throwing the other leg on top, as shown);
side of lower leg — muscles called the peroneals; tibialis
anterior — shin area; inner
thighs or adductors; quads; and last the TFL which is between your ITB and quad at the top
of your leg just below your pelvis.