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Finding the Fourth Proportional to 477.48, 658.27 and 408.28

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Solution

The fourth proportional to 477.48, 658.27 and 408.28 is: 562.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.48 : 658.27 = 408.28 : x
  2. Step 2: Convert to fraction form
    477.48/658.27 = 408.28/x
  3. Step 3: Cross multiply
    477.48x = 658.27 × 408.28
  4. Step 4: Simplify right side
    477.48x = 268,753.14
  5. Step 5: Solve for x
    x = 268,753.14/477.48
  6. Step 6: Final answer
    x = 562.86

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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.