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Finding the Fourth Proportional to 343.62, 517.42 and 252.96

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Solution

The fourth proportional to 343.62, 517.42 and 252.96 is: 380.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.62 : 517.42 = 252.96 : x
  2. Step 2: Convert to fraction form
    343.62/517.42 = 252.96/x
  3. Step 3: Cross multiply
    343.62x = 517.42 × 252.96
  4. Step 4: Simplify right side
    343.62x = 130,886.56
  5. Step 5: Solve for x
    x = 130,886.56/343.62
  6. Step 6: Final answer
    x = 380.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.