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Finding the Fourth Proportional to 492.53, 680.17 and 417.14

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Solution

The fourth proportional to 492.53, 680.17 and 417.14 is: 576.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.53 : 680.17 = 417.14 : x
  2. Step 2: Convert to fraction form
    492.53/680.17 = 417.14/x
  3. Step 3: Cross multiply
    492.53x = 680.17 × 417.14
  4. Step 4: Simplify right side
    492.53x = 283,726.77
  5. Step 5: Solve for x
    x = 283,726.77/492.53
  6. Step 6: Final answer
    x = 576.07

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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.