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Finding the Fourth Proportional to 550.46, 825.34 and 276.40

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Solution

The fourth proportional to 550.46, 825.34 and 276.40 is: 414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.46 : 825.34 = 276.40 : x
  2. Step 2: Convert to fraction form
    550.46/825.34 = 276.40/x
  3. Step 3: Cross multiply
    550.46x = 825.34 × 276.40
  4. Step 4: Simplify right side
    550.46x = 228,123.98
  5. Step 5: Solve for x
    x = 228,123.98/550.46
  6. Step 6: Final answer
    x = 414.42

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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.