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Finding the Fourth Proportional to 731.22, 1,008.90 and 432.42

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Solution

The fourth proportional to 731.22, 1,008.90 and 432.42 is: 596.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.22 : 1,008.90 = 432.42 : x
  2. Step 2: Convert to fraction form
    731.22/1,008.90 = 432.42/x
  3. Step 3: Cross multiply
    731.22x = 1,008.90 × 432.42
  4. Step 4: Simplify right side
    731.22x = 436,268.54
  5. Step 5: Solve for x
    x = 436,268.54/731.22
  6. Step 6: Final answer
    x = 596.63

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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.