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Finding the Fourth Proportional to 548.68, 821.76 and 331.80

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Solution

The fourth proportional to 548.68, 821.76 and 331.80 is: 496.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.68 : 821.76 = 331.80 : x
  2. Step 2: Convert to fraction form
    548.68/821.76 = 331.80/x
  3. Step 3: Cross multiply
    548.68x = 821.76 × 331.80
  4. Step 4: Simplify right side
    548.68x = 272,659.97
  5. Step 5: Solve for x
    x = 272,659.97/548.68
  6. Step 6: Final answer
    x = 496.94

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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.