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Finding the Fourth Proportional to 548.38, 822.18 and 274.28

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Solution

The fourth proportional to 548.38, 822.18 and 274.28 is: 411.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.38 : 822.18 = 274.28 : x
  2. Step 2: Convert to fraction form
    548.38/822.18 = 274.28/x
  3. Step 3: Cross multiply
    548.38x = 822.18 × 274.28
  4. Step 4: Simplify right side
    548.38x = 225,504.45
  5. Step 5: Solve for x
    x = 225,504.45/548.38
  6. Step 6: Final answer
    x = 411.22

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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.