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Finding the Fourth Proportional to 548.57, 757.22 and 327.52

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Solution

The fourth proportional to 548.57, 757.22 and 327.52 is: 452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.57 : 757.22 = 327.52 : x
  2. Step 2: Convert to fraction form
    548.57/757.22 = 327.52/x
  3. Step 3: Cross multiply
    548.57x = 757.22 × 327.52
  4. Step 4: Simplify right side
    548.57x = 248,001.16
  5. Step 5: Solve for x
    x = 248,001.16/548.57
  6. Step 6: Final answer
    x = 452.09

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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.