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Finding the Fourth Proportional to 537.71, 806.00 and 229.71

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Solution

The fourth proportional to 537.71, 806.00 and 229.71 is: 344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.71 : 806.00 = 229.71 : x
  2. Step 2: Convert to fraction form
    537.71/806.00 = 229.71/x
  3. Step 3: Cross multiply
    537.71x = 806.00 × 229.71
  4. Step 4: Simplify right side
    537.71x = 185,147.16
  5. Step 5: Solve for x
    x = 185,147.16/537.71
  6. Step 6: Final answer
    x = 344.32

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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.