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Finding the Fourth Proportional to 311.18, 465.41 and 271.76

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Solution

The fourth proportional to 311.18, 465.41 and 271.76 is: 406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.18 : 465.41 = 271.76 : x
  2. Step 2: Convert to fraction form
    311.18/465.41 = 271.76/x
  3. Step 3: Cross multiply
    311.18x = 465.41 × 271.76
  4. Step 4: Simplify right side
    311.18x = 126,478.17
  5. Step 5: Solve for x
    x = 126,478.17/311.18
  6. Step 6: Final answer
    x = 406.45

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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.