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Finding the Fourth Proportional to 546.46, 818.13 and 363.49

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Solution

The fourth proportional to 546.46, 818.13 and 363.49 is: 544.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.46 : 818.13 = 363.49 : x
  2. Step 2: Convert to fraction form
    546.46/818.13 = 363.49/x
  3. Step 3: Cross multiply
    546.46x = 818.13 × 363.49
  4. Step 4: Simplify right side
    546.46x = 297,382.07
  5. Step 5: Solve for x
    x = 297,382.07/546.46
  6. Step 6: Final answer
    x = 544.20

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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.