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Finding the Fourth Proportional to 311.76, 467.20 and 257.76

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Solution

The fourth proportional to 311.76, 467.20 and 257.76 is: 386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.76 : 467.20 = 257.76 : x
  2. Step 2: Convert to fraction form
    311.76/467.20 = 257.76/x
  3. Step 3: Cross multiply
    311.76x = 467.20 × 257.76
  4. Step 4: Simplify right side
    311.76x = 120,425.47
  5. Step 5: Solve for x
    x = 120,425.47/311.76
  6. Step 6: Final answer
    x = 386.28

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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.