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Finding the Fourth Proportional to 546.60, 818.52 and 327.09

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Solution

The fourth proportional to 546.60, 818.52 and 327.09 is: 489.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.60 : 818.52 = 327.09 : x
  2. Step 2: Convert to fraction form
    546.60/818.52 = 327.09/x
  3. Step 3: Cross multiply
    546.60x = 818.52 × 327.09
  4. Step 4: Simplify right side
    546.60x = 267,729.71
  5. Step 5: Solve for x
    x = 267,729.71/546.60
  6. Step 6: Final answer
    x = 489.81

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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.