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Finding the Fourth Proportional to 549.80, 826.13 and 414.12

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Solution

The fourth proportional to 549.80, 826.13 and 414.12 is: 622.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.80 : 826.13 = 414.12 : x
  2. Step 2: Convert to fraction form
    549.80/826.13 = 414.12/x
  3. Step 3: Cross multiply
    549.80x = 826.13 × 414.12
  4. Step 4: Simplify right side
    549.80x = 342,116.96
  5. Step 5: Solve for x
    x = 342,116.96/549.80
  6. Step 6: Final answer
    x = 622.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.