Step 1 :Find angle P: \(180 - 57 - 55 = 68^\circ\)
Step 2 :Use Law of Sines to find side n: \(\frac{n}{\sin{57^\circ}} = \frac{490 - n}{\sin{55^\circ}}\)
Step 3 :Solve for n: \(n \approx 443\)
Step 4 :\(\boxed{443}\)