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Finding the Fourth Proportional to 658.68, 908.56 and 422.38

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Solution

The fourth proportional to 658.68, 908.56 and 422.38 is: 582.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.68 : 908.56 = 422.38 : x
  2. Step 2: Convert to fraction form
    658.68/908.56 = 422.38/x
  3. Step 3: Cross multiply
    658.68x = 908.56 × 422.38
  4. Step 4: Simplify right side
    658.68x = 383,752.54
  5. Step 5: Solve for x
    x = 383,752.54/658.68
  6. Step 6: Final answer
    x = 582.61

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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.