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Finding the Fourth Proportional to 327.12, 489.72 and 249.84

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Solution

The fourth proportional to 327.12, 489.72 and 249.84 is: 374.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.12 : 489.72 = 249.84 : x
  2. Step 2: Convert to fraction form
    327.12/489.72 = 249.84/x
  3. Step 3: Cross multiply
    327.12x = 489.72 × 249.84
  4. Step 4: Simplify right side
    327.12x = 122,351.64
  5. Step 5: Solve for x
    x = 122,351.64/327.12
  6. Step 6: Final answer
    x = 374.03

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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.