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Finding the Fourth Proportional to 638.20, 956.69 and 308.93

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Solution

The fourth proportional to 638.20, 956.69 and 308.93 is: 463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.20 : 956.69 = 308.93 : x
  2. Step 2: Convert to fraction form
    638.20/956.69 = 308.93/x
  3. Step 3: Cross multiply
    638.20x = 956.69 × 308.93
  4. Step 4: Simplify right side
    638.20x = 295,548.70
  5. Step 5: Solve for x
    x = 295,548.70/638.20
  6. Step 6: Final answer
    x = 463.10

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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.