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Finding the Fourth Proportional to 549.84, 757.32 and 494.56

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Solution

The fourth proportional to 549.84, 757.32 and 494.56 is: 681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.84 : 757.32 = 494.56 : x
  2. Step 2: Convert to fraction form
    549.84/757.32 = 494.56/x
  3. Step 3: Cross multiply
    549.84x = 757.32 × 494.56
  4. Step 4: Simplify right side
    549.84x = 374,540.18
  5. Step 5: Solve for x
    x = 374,540.18/549.84
  6. Step 6: Final answer
    x = 681.18

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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.