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Finding the Fourth Proportional to 549.27, 757.78 and 409.48

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Solution

The fourth proportional to 549.27, 757.78 and 409.48 is: 564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.27 : 757.78 = 409.48 : x
  2. Step 2: Convert to fraction form
    549.27/757.78 = 409.48/x
  3. Step 3: Cross multiply
    549.27x = 757.78 × 409.48
  4. Step 4: Simplify right side
    549.27x = 310,292.84
  5. Step 5: Solve for x
    x = 310,292.84/549.27
  6. Step 6: Final answer
    x = 564.92

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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.