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Finding the Fourth Proportional to 658.38, 909.18 and 560.10

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Solution

The fourth proportional to 658.38, 909.18 and 560.10 is: 773.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.38 : 909.18 = 560.10 : x
  2. Step 2: Convert to fraction form
    658.38/909.18 = 560.10/x
  3. Step 3: Cross multiply
    658.38x = 909.18 × 560.10
  4. Step 4: Simplify right side
    658.38x = 509,231.72
  5. Step 5: Solve for x
    x = 509,231.72/658.38
  6. Step 6: Final answer
    x = 773.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.