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Finding the Fourth Proportional to 658.13, 907.82 and 392.40

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Solution

The fourth proportional to 658.13, 907.82 and 392.40 is: 541.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.13 : 907.82 = 392.40 : x
  2. Step 2: Convert to fraction form
    658.13/907.82 = 392.40/x
  3. Step 3: Cross multiply
    658.13x = 907.82 × 392.40
  4. Step 4: Simplify right side
    658.13x = 356,229.55
  5. Step 5: Solve for x
    x = 356,229.55/658.13
  6. Step 6: Final answer
    x = 541.27

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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.