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Finding the Fourth Proportional to 658.23, 908.28 and 392.68

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Solution

The fourth proportional to 658.23, 908.28 and 392.68 is: 541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.23 : 908.28 = 392.68 : x
  2. Step 2: Convert to fraction form
    658.23/908.28 = 392.68/x
  3. Step 3: Cross multiply
    658.23x = 908.28 × 392.68
  4. Step 4: Simplify right side
    658.23x = 356,663.70
  5. Step 5: Solve for x
    x = 356,663.70/658.23
  6. Step 6: Final answer
    x = 541.85

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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.