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Finding the Fourth Proportional to 550.56, 826.02 and 226.20

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Solution

The fourth proportional to 550.56, 826.02 and 226.20 is: 339.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.56 : 826.02 = 226.20 : x
  2. Step 2: Convert to fraction form
    550.56/826.02 = 226.20/x
  3. Step 3: Cross multiply
    550.56x = 826.02 × 226.20
  4. Step 4: Simplify right side
    550.56x = 186,845.72
  5. Step 5: Solve for x
    x = 186,845.72/550.56
  6. Step 6: Final answer
    x = 339.37

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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.