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Finding the Fourth Proportional to 550.86, 826.47 and 276.90

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Solution

The fourth proportional to 550.86, 826.47 and 276.90 is: 415.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.86 : 826.47 = 276.90 : x
  2. Step 2: Convert to fraction form
    550.86/826.47 = 276.90/x
  3. Step 3: Cross multiply
    550.86x = 826.47 × 276.90
  4. Step 4: Simplify right side
    550.86x = 228,849.54
  5. Step 5: Solve for x
    x = 228,849.54/550.86
  6. Step 6: Final answer
    x = 415.44

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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.