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Finding the Fourth Proportional to 731.46, 1,009.42 and 432.72

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Solution

The fourth proportional to 731.46, 1,009.42 and 432.72 is: 597.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.46 : 1,009.42 = 432.72 : x
  2. Step 2: Convert to fraction form
    731.46/1,009.42 = 432.72/x
  3. Step 3: Cross multiply
    731.46x = 1,009.42 × 432.72
  4. Step 4: Simplify right side
    731.46x = 436,796.22
  5. Step 5: Solve for x
    x = 436,796.22/731.46
  6. Step 6: Final answer
    x = 597.16

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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.