Use inductive reasoning to predict the next line in the pattern. \( \begin{array}{l}11 \times 41=451 \\ 11 \times 42=462 \\ 11 \times 43=473\end{array} \) The next line is \( \square \times \square=\square \).

To predict the next line in the pattern, let's analyze the given equations step by step. 1. **Identify the pattern:** - The first line is \( 11 \times 41 = 451 \). - The second line is \( 11 \times 42 = 462 \). - The third line is \( 11 \times 43 = 473 \). 2. **Observe the multipliers:** - The multipliers are increasing by 1 each time: 41, 42, 43. 3. **Observe the products:** - The products are 451, 462, and 473. - Notice that each product increases by 11: - \( 462 - 451 = 11 \) - \( 473 - 462 = 11 \) 4. **Predict the next line:** - Following the pattern, the next multiplier should be \( 43 + 1 = 44 \). - The next product should be \( 473 + 11 = 484 \). Thus, the next line in the pattern is: \[ 11 \times 44 = 484 \] So, the complete next line is \( 11 \times 44 = 484 \).