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Finding the Fourth Proportional to 457.53, 686.56 and 169.17

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Solution

The fourth proportional to 457.53, 686.56 and 169.17 is: 253.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.53 : 686.56 = 169.17 : x
  2. Step 2: Convert to fraction form
    457.53/686.56 = 169.17/x
  3. Step 3: Cross multiply
    457.53x = 686.56 × 169.17
  4. Step 4: Simplify right side
    457.53x = 116,142.67
  5. Step 5: Solve for x
    x = 116,142.67/457.53
  6. Step 6: Final answer
    x = 253.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.