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Finding the Fourth Proportional to 548.56, 822.70 and 270.78

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Solution

The fourth proportional to 548.56, 822.70 and 270.78 is: 406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.56 : 822.70 = 270.78 : x
  2. Step 2: Convert to fraction form
    548.56/822.70 = 270.78/x
  3. Step 3: Cross multiply
    548.56x = 822.70 × 270.78
  4. Step 4: Simplify right side
    548.56x = 222,770.71
  5. Step 5: Solve for x
    x = 222,770.71/548.56
  6. Step 6: Final answer
    x = 406.10

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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.