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Finding the Fourth Proportional to 426.52, 638.96 and 315.14

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Solution

The fourth proportional to 426.52, 638.96 and 315.14 is: 472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.52 : 638.96 = 315.14 : x
  2. Step 2: Convert to fraction form
    426.52/638.96 = 315.14/x
  3. Step 3: Cross multiply
    426.52x = 638.96 × 315.14
  4. Step 4: Simplify right side
    426.52x = 201,361.85
  5. Step 5: Solve for x
    x = 201,361.85/426.52
  6. Step 6: Final answer
    x = 472.10

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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.