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Finding the Fourth Proportional to 410.48, 615.16 and 225.46

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Solution

The fourth proportional to 410.48, 615.16 and 225.46 is: 337.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.48 : 615.16 = 225.46 : x
  2. Step 2: Convert to fraction form
    410.48/615.16 = 225.46/x
  3. Step 3: Cross multiply
    410.48x = 615.16 × 225.46
  4. Step 4: Simplify right side
    410.48x = 138,693.97
  5. Step 5: Solve for x
    x = 138,693.97/410.48
  6. Step 6: Final answer
    x = 337.88

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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.