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Finding the Fourth Proportional to 550.74, 825.67 and 276.69

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Solution

The fourth proportional to 550.74, 825.67 and 276.69 is: 414.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.74 : 825.67 = 276.69 : x
  2. Step 2: Convert to fraction form
    550.74/825.67 = 276.69/x
  3. Step 3: Cross multiply
    550.74x = 825.67 × 276.69
  4. Step 4: Simplify right side
    550.74x = 228,454.63
  5. Step 5: Solve for x
    x = 228,454.63/550.74
  6. Step 6: Final answer
    x = 414.81

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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.