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Finding the Fourth Proportional to 550.81, 826.31 and 254.33

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Solution

The fourth proportional to 550.81, 826.31 and 254.33 is: 381.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.81 : 826.31 = 254.33 : x
  2. Step 2: Convert to fraction form
    550.81/826.31 = 254.33/x
  3. Step 3: Cross multiply
    550.81x = 826.31 × 254.33
  4. Step 4: Simplify right side
    550.81x = 210,158.92
  5. Step 5: Solve for x
    x = 210,158.92/550.81
  6. Step 6: Final answer
    x = 381.55

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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.