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Finding the Fourth Proportional to 549.09, 757.46 and 327.98

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Solution

The fourth proportional to 549.09, 757.46 and 327.98 is: 452.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.09 : 757.46 = 327.98 : x
  2. Step 2: Convert to fraction form
    549.09/757.46 = 327.98/x
  3. Step 3: Cross multiply
    549.09x = 757.46 × 327.98
  4. Step 4: Simplify right side
    549.09x = 248,426.30
  5. Step 5: Solve for x
    x = 248,426.30/549.09
  6. Step 6: Final answer
    x = 452.43

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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.