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Finding the Fourth Proportional to 410.55, 616.13 and 225.47

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Solution

The fourth proportional to 410.55, 616.13 and 225.47 is: 338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.55 : 616.13 = 225.47 : x
  2. Step 2: Convert to fraction form
    410.55/616.13 = 225.47/x
  3. Step 3: Cross multiply
    410.55x = 616.13 × 225.47
  4. Step 4: Simplify right side
    410.55x = 138,914.62
  5. Step 5: Solve for x
    x = 138,914.62/410.55
  6. Step 6: Final answer
    x = 338.36

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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.