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Finding the Fourth Proportional to 432.43, 596.10 and 338.97

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Solution

The fourth proportional to 432.43, 596.10 and 338.97 is: 467.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.43 : 596.10 = 338.97 : x
  2. Step 2: Convert to fraction form
    432.43/596.10 = 338.97/x
  3. Step 3: Cross multiply
    432.43x = 596.10 × 338.97
  4. Step 4: Simplify right side
    432.43x = 202,060.02
  5. Step 5: Solve for x
    x = 202,060.02/432.43
  6. Step 6: Final answer
    x = 467.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.