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Finding the Fourth Proportional to 412.18, 616.71 and 229.72

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Solution

The fourth proportional to 412.18, 616.71 and 229.72 is: 343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.18 : 616.71 = 229.72 : x
  2. Step 2: Convert to fraction form
    412.18/616.71 = 229.72/x
  3. Step 3: Cross multiply
    412.18x = 616.71 × 229.72
  4. Step 4: Simplify right side
    412.18x = 141,670.62
  5. Step 5: Solve for x
    x = 141,670.62/412.18
  6. Step 6: Final answer
    x = 343.71

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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.