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Finding the Fourth Proportional to 546.10, 819.82 and 361.16

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Solution

The fourth proportional to 546.10, 819.82 and 361.16 is: 542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.10 : 819.82 = 361.16 : x
  2. Step 2: Convert to fraction form
    546.10/819.82 = 361.16/x
  3. Step 3: Cross multiply
    546.10x = 819.82 × 361.16
  4. Step 4: Simplify right side
    546.10x = 296,086.19
  5. Step 5: Solve for x
    x = 296,086.19/546.10
  6. Step 6: Final answer
    x = 542.18

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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.