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Finding the Fourth Proportional to 311.92, 467.34 and 305.44

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Solution

The fourth proportional to 311.92, 467.34 and 305.44 is: 457.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.92 : 467.34 = 305.44 : x
  2. Step 2: Convert to fraction form
    311.92/467.34 = 305.44/x
  3. Step 3: Cross multiply
    311.92x = 467.34 × 305.44
  4. Step 4: Simplify right side
    311.92x = 142,744.33
  5. Step 5: Solve for x
    x = 142,744.33/311.92
  6. Step 6: Final answer
    x = 457.63

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Why These Related Problems?

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