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Finding the Fourth Proportional to 658.66, 908.94 and 378.85

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Solution

The fourth proportional to 658.66, 908.94 and 378.85 is: 522.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.66 : 908.94 = 378.85 : x
  2. Step 2: Convert to fraction form
    658.66/908.94 = 378.85/x
  3. Step 3: Cross multiply
    658.66x = 908.94 × 378.85
  4. Step 4: Simplify right side
    658.66x = 344,351.92
  5. Step 5: Solve for x
    x = 344,351.92/658.66
  6. Step 6: Final answer
    x = 522.81

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