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Finding the Fourth Proportional to 550.26, 824.46 and 481.02

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Solution

The fourth proportional to 550.26, 824.46 and 481.02 is: 720.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.26 : 824.46 = 481.02 : x
  2. Step 2: Convert to fraction form
    550.26/824.46 = 481.02/x
  3. Step 3: Cross multiply
    550.26x = 824.46 × 481.02
  4. Step 4: Simplify right side
    550.26x = 396,581.75
  5. Step 5: Solve for x
    x = 396,581.75/550.26
  6. Step 6: Final answer
    x = 720.72

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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.