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Finding the Fourth Proportional to 311.12, 468.54 and 271.04

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Solution

The fourth proportional to 311.12, 468.54 and 271.04 is: 408.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.12 : 468.54 = 271.04 : x
  2. Step 2: Convert to fraction form
    311.12/468.54 = 271.04/x
  3. Step 3: Cross multiply
    311.12x = 468.54 × 271.04
  4. Step 4: Simplify right side
    311.12x = 126,993.08
  5. Step 5: Solve for x
    x = 126,993.08/311.12
  6. Step 6: Final answer
    x = 408.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.