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Finding the Fourth Proportional to 408.38, 611.96 and 225.83

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Solution

The fourth proportional to 408.38, 611.96 and 225.83 is: 338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.38 : 611.96 = 225.83 : x
  2. Step 2: Convert to fraction form
    408.38/611.96 = 225.83/x
  3. Step 3: Cross multiply
    408.38x = 611.96 × 225.83
  4. Step 4: Simplify right side
    408.38x = 138,201.02
  5. Step 5: Solve for x
    x = 138,201.02/408.38
  6. Step 6: Final answer
    x = 338.41

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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.