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Finding the Fourth Proportional to 658.53, 908.85 and 378.80

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Solution

The fourth proportional to 658.53, 908.85 and 378.80 is: 522.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.53 : 908.85 = 378.80 : x
  2. Step 2: Convert to fraction form
    658.53/908.85 = 378.80/x
  3. Step 3: Cross multiply
    658.53x = 908.85 × 378.80
  4. Step 4: Simplify right side
    658.53x = 344,267.84
  5. Step 5: Solve for x
    x = 344,267.84/658.53
  6. Step 6: Final answer
    x = 522.78

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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.