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Finding the Fourth Proportional to 534.62, 801.49 and 226.71

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Solution

The fourth proportional to 534.62, 801.49 and 226.71 is: 339.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.62 : 801.49 = 226.71 : x
  2. Step 2: Convert to fraction form
    534.62/801.49 = 226.71/x
  3. Step 3: Cross multiply
    534.62x = 801.49 × 226.71
  4. Step 4: Simplify right side
    534.62x = 181,705.80
  5. Step 5: Solve for x
    x = 181,705.80/534.62
  6. Step 6: Final answer
    x = 339.88

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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.