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Finding the Fourth Proportional to 549.82, 757.90 and 409.72

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Solution

The fourth proportional to 549.82, 757.90 and 409.72 is: 564.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.82 : 757.90 = 409.72 : x
  2. Step 2: Convert to fraction form
    549.82/757.90 = 409.72/x
  3. Step 3: Cross multiply
    549.82x = 757.90 × 409.72
  4. Step 4: Simplify right side
    549.82x = 310,524.74
  5. Step 5: Solve for x
    x = 310,524.74/549.82
  6. Step 6: Final answer
    x = 564.78

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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.