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Finding the Fourth Proportional to 411.97, 618.42 and 229.72

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Solution

The fourth proportional to 411.97, 618.42 and 229.72 is: 344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.97 : 618.42 = 229.72 : x
  2. Step 2: Convert to fraction form
    411.97/618.42 = 229.72/x
  3. Step 3: Cross multiply
    411.97x = 618.42 × 229.72
  4. Step 4: Simplify right side
    411.97x = 142,063.44
  5. Step 5: Solve for x
    x = 142,063.44/411.97
  6. Step 6: Final answer
    x = 344.84

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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.