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Finding the Fourth Proportional to 546.78, 821.79 and 481.98

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Solution

The fourth proportional to 546.78, 821.79 and 481.98 is: 724.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.78 : 821.79 = 481.98 : x
  2. Step 2: Convert to fraction form
    546.78/821.79 = 481.98/x
  3. Step 3: Cross multiply
    546.78x = 821.79 × 481.98
  4. Step 4: Simplify right side
    546.78x = 396,086.34
  5. Step 5: Solve for x
    x = 396,086.34/546.78
  6. Step 6: Final answer
    x = 724.40

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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.