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Finding the Fourth Proportional to 550.83, 826.21 and 226.19

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Solution

The fourth proportional to 550.83, 826.21 and 226.19 is: 339.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.83 : 826.21 = 226.19 : x
  2. Step 2: Convert to fraction form
    550.83/826.21 = 226.19/x
  3. Step 3: Cross multiply
    550.83x = 826.21 × 226.19
  4. Step 4: Simplify right side
    550.83x = 186,880.44
  5. Step 5: Solve for x
    x = 186,880.44/550.83
  6. Step 6: Final answer
    x = 339.27

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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.