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Finding the Fourth Proportional to 546.86, 818.67 and 363.80

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Solution

The fourth proportional to 546.86, 818.67 and 363.80 is: 544.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.86 : 818.67 = 363.80 : x
  2. Step 2: Convert to fraction form
    546.86/818.67 = 363.80/x
  3. Step 3: Cross multiply
    546.86x = 818.67 × 363.80
  4. Step 4: Simplify right side
    546.86x = 297,832.15
  5. Step 5: Solve for x
    x = 297,832.15/546.86
  6. Step 6: Final answer
    x = 544.62

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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.