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Finding the Fourth Proportional to 311.22, 428.46 and 240.14

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Solution

The fourth proportional to 311.22, 428.46 and 240.14 is: 330.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.22 : 428.46 = 240.14 : x
  2. Step 2: Convert to fraction form
    311.22/428.46 = 240.14/x
  3. Step 3: Cross multiply
    311.22x = 428.46 × 240.14
  4. Step 4: Simplify right side
    311.22x = 102,890.56
  5. Step 5: Solve for x
    x = 102,890.56/311.22
  6. Step 6: Final answer
    x = 330.60

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Why These Related Problems?

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