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Finding the Fourth Proportional to 410.43, 615.66 and 381.27

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Solution

The fourth proportional to 410.43, 615.66 and 381.27 is: 571.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.43 : 615.66 = 381.27 : x
  2. Step 2: Convert to fraction form
    410.43/615.66 = 381.27/x
  3. Step 3: Cross multiply
    410.43x = 615.66 × 381.27
  4. Step 4: Simplify right side
    410.43x = 234,732.69
  5. Step 5: Solve for x
    x = 234,732.69/410.43
  6. Step 6: Final answer
    x = 571.92

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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.