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Finding the Fourth Proportional to 550.92, 825.77 and 261.75

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Solution

The fourth proportional to 550.92, 825.77 and 261.75 is: 392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.92 : 825.77 = 261.75 : x
  2. Step 2: Convert to fraction form
    550.92/825.77 = 261.75/x
  3. Step 3: Cross multiply
    550.92x = 825.77 × 261.75
  4. Step 4: Simplify right side
    550.92x = 216,143.99
  5. Step 5: Solve for x
    x = 216,143.99/550.92
  6. Step 6: Final answer
    x = 392.33

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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.