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Finding the Fourth Proportional to 548.26, 821.30 and 411.46

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Solution

The fourth proportional to 548.26, 821.30 and 411.46 is: 616.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.26 : 821.30 = 411.46 : x
  2. Step 2: Convert to fraction form
    548.26/821.30 = 411.46/x
  3. Step 3: Cross multiply
    548.26x = 821.30 × 411.46
  4. Step 4: Simplify right side
    548.26x = 337,932.10
  5. Step 5: Solve for x
    x = 337,932.10/548.26
  6. Step 6: Final answer
    x = 616.37

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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.