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Finding the Fourth Proportional to 537.69, 806.76 and 229.61

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Solution

The fourth proportional to 537.69, 806.76 and 229.61 is: 344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.69 : 806.76 = 229.61 : x
  2. Step 2: Convert to fraction form
    537.69/806.76 = 229.61/x
  3. Step 3: Cross multiply
    537.69x = 806.76 × 229.61
  4. Step 4: Simplify right side
    537.69x = 185,236.13
  5. Step 5: Solve for x
    x = 185,236.13/537.69
  6. Step 6: Final answer
    x = 344.50

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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.