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Finding the Fourth Proportional to 548.11, 822.17 and 235.70

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Solution

The fourth proportional to 548.11, 822.17 and 235.70 is: 353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.11 : 822.17 = 235.70 : x
  2. Step 2: Convert to fraction form
    548.11/822.17 = 235.70/x
  3. Step 3: Cross multiply
    548.11x = 822.17 × 235.70
  4. Step 4: Simplify right side
    548.11x = 193,781.36
  5. Step 5: Solve for x
    x = 193,781.36/548.11
  6. Step 6: Final answer
    x = 353.54

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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.