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Finding the Fourth Proportional to 546.08, 818.33 and 326.80

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Solution

The fourth proportional to 546.08, 818.33 and 326.80 is: 489.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.08 : 818.33 = 326.80 : x
  2. Step 2: Convert to fraction form
    546.08/818.33 = 326.80/x
  3. Step 3: Cross multiply
    546.08x = 818.33 × 326.80
  4. Step 4: Simplify right side
    546.08x = 267,429.02
  5. Step 5: Solve for x
    x = 267,429.02/546.08
  6. Step 6: Final answer
    x = 489.72

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Why These Related Problems?

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