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Finding the Fourth Proportional to 548.52, 757.04 and 327.60

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Solution

The fourth proportional to 548.52, 757.04 and 327.60 is: 452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.52 : 757.04 = 327.60 : x
  2. Step 2: Convert to fraction form
    548.52/757.04 = 327.60/x
  3. Step 3: Cross multiply
    548.52x = 757.04 × 327.60
  4. Step 4: Simplify right side
    548.52x = 248,006.30
  5. Step 5: Solve for x
    x = 248,006.30/548.52
  6. Step 6: Final answer
    x = 452.14

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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.