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Finding the Fourth Proportional to 662.16, 912.42 and 537.96

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Solution

The fourth proportional to 662.16, 912.42 and 537.96 is: 741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.16 : 912.42 = 537.96 : x
  2. Step 2: Convert to fraction form
    662.16/912.42 = 537.96/x
  3. Step 3: Cross multiply
    662.16x = 912.42 × 537.96
  4. Step 4: Simplify right side
    662.16x = 490,845.46
  5. Step 5: Solve for x
    x = 490,845.46/662.16
  6. Step 6: Final answer
    x = 741.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.