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Finding the Fourth Proportional to 550.95, 826.42 and 226.32

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Solution

The fourth proportional to 550.95, 826.42 and 226.32 is: 339.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.95 : 826.42 = 226.32 : x
  2. Step 2: Convert to fraction form
    550.95/826.42 = 226.32/x
  3. Step 3: Cross multiply
    550.95x = 826.42 × 226.32
  4. Step 4: Simplify right side
    550.95x = 187,035.37
  5. Step 5: Solve for x
    x = 187,035.37/550.95
  6. Step 6: Final answer
    x = 339.48

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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.