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Finding the Fourth Proportional to 549.12, 757.72 and 374.44

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Solution

The fourth proportional to 549.12, 757.72 and 374.44 is: 516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.12 : 757.72 = 374.44 : x
  2. Step 2: Convert to fraction form
    549.12/757.72 = 374.44/x
  3. Step 3: Cross multiply
    549.12x = 757.72 × 374.44
  4. Step 4: Simplify right side
    549.12x = 283,720.68
  5. Step 5: Solve for x
    x = 283,720.68/549.12
  6. Step 6: Final answer
    x = 516.68

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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.