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Finding the Fourth Proportional to 549.66, 757.68 and 374.70

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Solution

The fourth proportional to 549.66, 757.68 and 374.70 is: 516.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.66 : 757.68 = 374.70 : x
  2. Step 2: Convert to fraction form
    549.66/757.68 = 374.70/x
  3. Step 3: Cross multiply
    549.66x = 757.68 × 374.70
  4. Step 4: Simplify right side
    549.66x = 283,902.70
  5. Step 5: Solve for x
    x = 283,902.70/549.66
  6. Step 6: Final answer
    x = 516.51

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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.