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Finding the Fourth Proportional to 658.63, 908.99 and 378.88

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Solution

The fourth proportional to 658.63, 908.99 and 378.88 is: 522.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.63 : 908.99 = 378.88 : x
  2. Step 2: Convert to fraction form
    658.63/908.99 = 378.88/x
  3. Step 3: Cross multiply
    658.63x = 908.99 × 378.88
  4. Step 4: Simplify right side
    658.63x = 344,395.39
  5. Step 5: Solve for x
    x = 344,395.39/658.63
  6. Step 6: Final answer
    x = 522.90

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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.