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Finding the Fourth Proportional to 311.57, 430.11 and 213.83

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Solution

The fourth proportional to 311.57, 430.11 and 213.83 is: 295.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.57 : 430.11 = 213.83 : x
  2. Step 2: Convert to fraction form
    311.57/430.11 = 213.83/x
  3. Step 3: Cross multiply
    311.57x = 430.11 × 213.83
  4. Step 4: Simplify right side
    311.57x = 91,968.27
  5. Step 5: Solve for x
    x = 91,968.27/311.57
  6. Step 6: Final answer
    x = 295.18

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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.