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Finding the Fourth Proportional to 311.67, 430.38 and 246.47

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Solution

The fourth proportional to 311.67, 430.38 and 246.47 is: 340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.67 : 430.38 = 246.47 : x
  2. Step 2: Convert to fraction form
    311.67/430.38 = 246.47/x
  3. Step 3: Cross multiply
    311.67x = 430.38 × 246.47
  4. Step 4: Simplify right side
    311.67x = 106,073.61
  5. Step 5: Solve for x
    x = 106,073.61/311.67
  6. Step 6: Final answer
    x = 340.34

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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.