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Finding the Fourth Proportional to 800.80, 1,201.31 and 338.29

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Solution

The fourth proportional to 800.80, 1,201.31 and 338.29 is: 507.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.80 : 1,201.31 = 338.29 : x
  2. Step 2: Convert to fraction form
    800.80/1,201.31 = 338.29/x
  3. Step 3: Cross multiply
    800.80x = 1,201.31 × 338.29
  4. Step 4: Simplify right side
    800.80x = 406,387.73
  5. Step 5: Solve for x
    x = 406,387.73/800.80
  6. Step 6: Final answer
    x = 507.48

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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.