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Finding the Fourth Proportional to 546.74, 818.06 and 326.55

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Solution

The fourth proportional to 546.74, 818.06 and 326.55 is: 488.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.74 : 818.06 = 326.55 : x
  2. Step 2: Convert to fraction form
    546.74/818.06 = 326.55/x
  3. Step 3: Cross multiply
    546.74x = 818.06 × 326.55
  4. Step 4: Simplify right side
    546.74x = 267,135.86
  5. Step 5: Solve for x
    x = 267,135.86/546.74
  6. Step 6: Final answer
    x = 488.60

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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.