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Finding the Fourth Proportional to 548.74, 757.41 and 327.70

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Solution

The fourth proportional to 548.74, 757.41 and 327.70 is: 452.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.74 : 757.41 = 327.70 : x
  2. Step 2: Convert to fraction form
    548.74/757.41 = 327.70/x
  3. Step 3: Cross multiply
    548.74x = 757.41 × 327.70
  4. Step 4: Simplify right side
    548.74x = 248,203.26
  5. Step 5: Solve for x
    x = 248,203.26/548.74
  6. Step 6: Final answer
    x = 452.31

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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.