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Finding the Fourth Proportional to 658.32, 908.54 and 378.65

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Solution

The fourth proportional to 658.32, 908.54 and 378.65 is: 522.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.32 : 908.54 = 378.65 : x
  2. Step 2: Convert to fraction form
    658.32/908.54 = 378.65/x
  3. Step 3: Cross multiply
    658.32x = 908.54 × 378.65
  4. Step 4: Simplify right side
    658.32x = 344,012.24
  5. Step 5: Solve for x
    x = 344,012.24/658.32
  6. Step 6: Final answer
    x = 522.56

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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.