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Finding the Fourth Proportional to 411.54, 616.56 and 229.02

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Solution

The fourth proportional to 411.54, 616.56 and 229.02 is: 343.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.54 : 616.56 = 229.02 : x
  2. Step 2: Convert to fraction form
    411.54/616.56 = 229.02/x
  3. Step 3: Cross multiply
    411.54x = 616.56 × 229.02
  4. Step 4: Simplify right side
    411.54x = 141,204.57
  5. Step 5: Solve for x
    x = 141,204.57/411.54
  6. Step 6: Final answer
    x = 343.11

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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.