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Finding the Fourth Proportional to 731.47, 1,009.17 and 432.66

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Solution

The fourth proportional to 731.47, 1,009.17 and 432.66 is: 596.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.47 : 1,009.17 = 432.66 : x
  2. Step 2: Convert to fraction form
    731.47/1,009.17 = 432.66/x
  3. Step 3: Cross multiply
    731.47x = 1,009.17 × 432.66
  4. Step 4: Simplify right side
    731.47x = 436,620.28
  5. Step 5: Solve for x
    x = 436,620.28/731.47
  6. Step 6: Final answer
    x = 596.91

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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.