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Finding the Fourth Proportional to 323.20, 484.07 and 249.56

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Solution

The fourth proportional to 323.20, 484.07 and 249.56 is: 373.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.20 : 484.07 = 249.56 : x
  2. Step 2: Convert to fraction form
    323.20/484.07 = 249.56/x
  3. Step 3: Cross multiply
    323.20x = 484.07 × 249.56
  4. Step 4: Simplify right side
    323.20x = 120,805.13
  5. Step 5: Solve for x
    x = 120,805.13/323.20
  6. Step 6: Final answer
    x = 373.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.