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Finding the Fourth Proportional to 432.24, 647.31 and 344.97

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Solution

The fourth proportional to 432.24, 647.31 and 344.97 is: 516.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.24 : 647.31 = 344.97 : x
  2. Step 2: Convert to fraction form
    432.24/647.31 = 344.97/x
  3. Step 3: Cross multiply
    432.24x = 647.31 × 344.97
  4. Step 4: Simplify right side
    432.24x = 223,302.53
  5. Step 5: Solve for x
    x = 223,302.53/432.24
  6. Step 6: Final answer
    x = 516.62

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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.