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Finding the Fourth Proportional to 638.53, 956.99 and 272.88

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Solution

The fourth proportional to 638.53, 956.99 and 272.88 is: 408.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.53 : 956.99 = 272.88 : x
  2. Step 2: Convert to fraction form
    638.53/956.99 = 272.88/x
  3. Step 3: Cross multiply
    638.53x = 956.99 × 272.88
  4. Step 4: Simplify right side
    638.53x = 261,144.46
  5. Step 5: Solve for x
    x = 261,144.46/638.53
  6. Step 6: Final answer
    x = 408.98

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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.