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Finding the Fourth Proportional to 550.93, 826.40 and 226.22

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Solution

The fourth proportional to 550.93, 826.40 and 226.22 is: 339.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.93 : 826.40 = 226.22 : x
  2. Step 2: Convert to fraction form
    550.93/826.40 = 226.22/x
  3. Step 3: Cross multiply
    550.93x = 826.40 × 226.22
  4. Step 4: Simplify right side
    550.93x = 186,949.14
  5. Step 5: Solve for x
    x = 186,949.14/550.93
  6. Step 6: Final answer
    x = 339.34

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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.