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Finding the Fourth Proportional to 412.38, 618.82 and 229.76

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Solution

The fourth proportional to 412.38, 618.82 and 229.76 is: 344.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.38 : 618.82 = 229.76 : x
  2. Step 2: Convert to fraction form
    412.38/618.82 = 229.76/x
  3. Step 3: Cross multiply
    412.38x = 618.82 × 229.76
  4. Step 4: Simplify right side
    412.38x = 142,180.08
  5. Step 5: Solve for x
    x = 142,180.08/412.38
  6. Step 6: Final answer
    x = 344.78

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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.