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Finding the Fourth Proportional to 638.38, 956.68 and 329.47

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Solution

The fourth proportional to 638.38, 956.68 and 329.47 is: 493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.38 : 956.68 = 329.47 : x
  2. Step 2: Convert to fraction form
    638.38/956.68 = 329.47/x
  3. Step 3: Cross multiply
    638.38x = 956.68 × 329.47
  4. Step 4: Simplify right side
    638.38x = 315,194.14
  5. Step 5: Solve for x
    x = 315,194.14/638.38
  6. Step 6: Final answer
    x = 493.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.