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Finding the Fourth Proportional to 548.56, 822.07 and 426.25

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Solution

The fourth proportional to 548.56, 822.07 and 426.25 is: 638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.56 : 822.07 = 426.25 : x
  2. Step 2: Convert to fraction form
    548.56/822.07 = 426.25/x
  3. Step 3: Cross multiply
    548.56x = 822.07 × 426.25
  4. Step 4: Simplify right side
    548.56x = 350,407.34
  5. Step 5: Solve for x
    x = 350,407.34/548.56
  6. Step 6: Final answer
    x = 638.78

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