A beam containing two monochromatic wavelengths of light, \(\lambda_1 = 480\text{ nm}\) and an unknown wavelength \(\lambda_2\), is incident normally on a diffraction grating. On a distant viewing screen, the fourth-order (\(m = 4\)) principal maximum of wavelength \(\lambda_1\) appears at the exact same diffraction angle \(\theta\) as the third-order (\(m = 3\)) principal maximum of wavelength \(\lambda_2\). What is the wavelength \(\lambda_2\)?