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Finding the Fourth Proportional to 549.23, 757.89 and 380.97

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Solution

The fourth proportional to 549.23, 757.89 and 380.97 is: 525.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.23 : 757.89 = 380.97 : x
  2. Step 2: Convert to fraction form
    549.23/757.89 = 380.97/x
  3. Step 3: Cross multiply
    549.23x = 757.89 × 380.97
  4. Step 4: Simplify right side
    549.23x = 288,733.35
  5. Step 5: Solve for x
    x = 288,733.35/549.23
  6. Step 6: Final answer
    x = 525.71

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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.