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Finding the Fourth Proportional to 658.61, 908.82 and 378.82

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Solution

The fourth proportional to 658.61, 908.82 and 378.82 is: 522.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.61 : 908.82 = 378.82 : x
  2. Step 2: Convert to fraction form
    658.61/908.82 = 378.82/x
  3. Step 3: Cross multiply
    658.61x = 908.82 × 378.82
  4. Step 4: Simplify right side
    658.61x = 344,279.19
  5. Step 5: Solve for x
    x = 344,279.19/658.61
  6. Step 6: Final answer
    x = 522.74

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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.