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Finding the Fourth Proportional to 410.27, 615.14 and 227.61

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Solution

The fourth proportional to 410.27, 615.14 and 227.61 is: 341.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.27 : 615.14 = 227.61 : x
  2. Step 2: Convert to fraction form
    410.27/615.14 = 227.61/x
  3. Step 3: Cross multiply
    410.27x = 615.14 × 227.61
  4. Step 4: Simplify right side
    410.27x = 140,013.01
  5. Step 5: Solve for x
    x = 140,013.01/410.27
  6. Step 6: Final answer
    x = 341.27

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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.