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Finding the Fourth Proportional to 546.68, 818.51 and 363.83

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Solution

The fourth proportional to 546.68, 818.51 and 363.83 is: 544.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.68 : 818.51 = 363.83 : x
  2. Step 2: Convert to fraction form
    546.68/818.51 = 363.83/x
  3. Step 3: Cross multiply
    546.68x = 818.51 × 363.83
  4. Step 4: Simplify right side
    546.68x = 297,792.58
  5. Step 5: Solve for x
    x = 297,792.58/546.68
  6. Step 6: Final answer
    x = 544.73

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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.