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Finding the Fourth Proportional to 546.50, 818.93 and 363.24

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Solution

The fourth proportional to 546.50, 818.93 and 363.24 is: 544.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.50 : 818.93 = 363.24 : x
  2. Step 2: Convert to fraction form
    546.50/818.93 = 363.24/x
  3. Step 3: Cross multiply
    546.50x = 818.93 × 363.24
  4. Step 4: Simplify right side
    546.50x = 297,469.04
  5. Step 5: Solve for x
    x = 297,469.04/546.50
  6. Step 6: Final answer
    x = 544.31

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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.