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Finding the Fourth Proportional to 548.58, 757.17 and 327.63

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Solution

The fourth proportional to 548.58, 757.17 and 327.63 is: 452.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.58 : 757.17 = 327.63 : x
  2. Step 2: Convert to fraction form
    548.58/757.17 = 327.63/x
  3. Step 3: Cross multiply
    548.58x = 757.17 × 327.63
  4. Step 4: Simplify right side
    548.58x = 248,071.61
  5. Step 5: Solve for x
    x = 248,071.61/548.58
  6. Step 6: Final answer
    x = 452.21

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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.