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Finding the Fourth Proportional to 549.14, 757.64 and 374.18

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Solution

The fourth proportional to 549.14, 757.64 and 374.18 is: 516.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.14 : 757.64 = 374.18 : x
  2. Step 2: Convert to fraction form
    549.14/757.64 = 374.18/x
  3. Step 3: Cross multiply
    549.14x = 757.64 × 374.18
  4. Step 4: Simplify right side
    549.14x = 283,493.74
  5. Step 5: Solve for x
    x = 283,493.74/549.14
  6. Step 6: Final answer
    x = 516.25

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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.