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Finding the Fourth Proportional to 549.80, 757.86 and 409.69

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Solution

The fourth proportional to 549.80, 757.86 and 409.69 is: 564.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.80 : 757.86 = 409.69 : x
  2. Step 2: Convert to fraction form
    549.80/757.86 = 409.69/x
  3. Step 3: Cross multiply
    549.80x = 757.86 × 409.69
  4. Step 4: Simplify right side
    549.80x = 310,487.66
  5. Step 5: Solve for x
    x = 310,487.66/549.80
  6. Step 6: Final answer
    x = 564.73

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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.