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Finding the Fourth Proportional to 548.27, 822.66 and 274.40

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Solution

The fourth proportional to 548.27, 822.66 and 274.40 is: 411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.27 : 822.66 = 274.40 : x
  2. Step 2: Convert to fraction form
    548.27/822.66 = 274.40/x
  3. Step 3: Cross multiply
    548.27x = 822.66 × 274.40
  4. Step 4: Simplify right side
    548.27x = 225,737.90
  5. Step 5: Solve for x
    x = 225,737.90/548.27
  6. Step 6: Final answer
    x = 411.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.