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Finding the Fourth Proportional to 549.24, 757.65 and 374.28

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Solution

The fourth proportional to 549.24, 757.65 and 374.28 is: 516.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.24 : 757.65 = 374.28 : x
  2. Step 2: Convert to fraction form
    549.24/757.65 = 374.28/x
  3. Step 3: Cross multiply
    549.24x = 757.65 × 374.28
  4. Step 4: Simplify right side
    549.24x = 283,573.24
  5. Step 5: Solve for x
    x = 283,573.24/549.24
  6. Step 6: Final answer
    x = 516.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.