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Finding the Fourth Proportional to 412.43, 617.58 and 229.61

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Solution

The fourth proportional to 412.43, 617.58 and 229.61 is: 343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.43 : 617.58 = 229.61 : x
  2. Step 2: Convert to fraction form
    412.43/617.58 = 229.61/x
  3. Step 3: Cross multiply
    412.43x = 617.58 × 229.61
  4. Step 4: Simplify right side
    412.43x = 141,799.46
  5. Step 5: Solve for x
    x = 141,799.46/412.43
  6. Step 6: Final answer
    x = 343.82

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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.