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Finding the Fourth Proportional to 550.23, 825.34 and 276.25

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Solution

The fourth proportional to 550.23, 825.34 and 276.25 is: 414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.23 : 825.34 = 276.25 : x
  2. Step 2: Convert to fraction form
    550.23/825.34 = 276.25/x
  3. Step 3: Cross multiply
    550.23x = 825.34 × 276.25
  4. Step 4: Simplify right side
    550.23x = 228,001.81
  5. Step 5: Solve for x
    x = 228,001.81/550.23
  6. Step 6: Final answer
    x = 414.38

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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.