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Finding the Fourth Proportional to 547.25, 755.49 and 361.04

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Solution

The fourth proportional to 547.25, 755.49 and 361.04 is: 498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.25 : 755.49 = 361.04 : x
  2. Step 2: Convert to fraction form
    547.25/755.49 = 361.04/x
  3. Step 3: Cross multiply
    547.25x = 755.49 × 361.04
  4. Step 4: Simplify right side
    547.25x = 272,760.30
  5. Step 5: Solve for x
    x = 272,760.30/547.25
  6. Step 6: Final answer
    x = 498.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.