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Finding the Fourth Proportional to 412.28, 617.80 and 229.42

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Solution

The fourth proportional to 412.28, 617.80 and 229.42 is: 343.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.28 : 617.80 = 229.42 : x
  2. Step 2: Convert to fraction form
    412.28/617.80 = 229.42/x
  3. Step 3: Cross multiply
    412.28x = 617.80 × 229.42
  4. Step 4: Simplify right side
    412.28x = 141,731.44
  5. Step 5: Solve for x
    x = 141,731.44/412.28
  6. Step 6: Final answer
    x = 343.78

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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.