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Finding the Fourth Proportional to 311.25, 428.44 and 248.61

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Solution

The fourth proportional to 311.25, 428.44 and 248.61 is: 342.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.25 : 428.44 = 248.61 : x
  2. Step 2: Convert to fraction form
    311.25/428.44 = 248.61/x
  3. Step 3: Cross multiply
    311.25x = 428.44 × 248.61
  4. Step 4: Simplify right side
    311.25x = 106,514.47
  5. Step 5: Solve for x
    x = 106,514.47/311.25
  6. Step 6: Final answer
    x = 342.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.