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Finding the Fourth Proportional to 730.53, 1,008.15 and 431.97

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Solution

The fourth proportional to 730.53, 1,008.15 and 431.97 is: 596.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.53 : 1,008.15 = 431.97 : x
  2. Step 2: Convert to fraction form
    730.53/1,008.15 = 431.97/x
  3. Step 3: Cross multiply
    730.53x = 1,008.15 × 431.97
  4. Step 4: Simplify right side
    730.53x = 435,490.56
  5. Step 5: Solve for x
    x = 435,490.56/730.53
  6. Step 6: Final answer
    x = 596.13

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