To find the ratio of masses m1 and m2 based on the given forces and accelerations, the equations F = (3.00 m/s²)m1 and F = (1.00 m/s²)m2 can be set equal to each other since both represent the same force F. By equating the two expressions, the ratio m1/m2 can be derived as m1/m2 = (1.00 m/s²)/(3.00 m/s²), resulting in a ratio of 1/3 or approximately 0.33. The calculation presented is correct, confirming that the ratio of the masses is indeed 0.33. This demonstrates the relationship between force, mass, and acceleration in Newton's second law. Understanding these principles is essential for solving problems in mechanics.