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Finding the Fourth Proportional to 548.31, 822.74 and 274.38

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Solution

The fourth proportional to 548.31, 822.74 and 274.38 is: 411.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.31 : 822.74 = 274.38 : x
  2. Step 2: Convert to fraction form
    548.31/822.74 = 274.38/x
  3. Step 3: Cross multiply
    548.31x = 822.74 × 274.38
  4. Step 4: Simplify right side
    548.31x = 225,743.40
  5. Step 5: Solve for x
    x = 225,743.40/548.31
  6. Step 6: Final answer
    x = 411.71

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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.