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Finding the Fourth Proportional to 658.41, 908.74 and 378.83

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Solution

The fourth proportional to 658.41, 908.74 and 378.83 is: 522.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.41 : 908.74 = 378.83 : x
  2. Step 2: Convert to fraction form
    658.41/908.74 = 378.83/x
  3. Step 3: Cross multiply
    658.41x = 908.74 × 378.83
  4. Step 4: Simplify right side
    658.41x = 344,259.30
  5. Step 5: Solve for x
    x = 344,259.30/658.41
  6. Step 6: Final answer
    x = 522.86

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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.