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Finding the Fourth Proportional to 311.82, 429.86 and 213.41

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Solution

The fourth proportional to 311.82, 429.86 and 213.41 is: 294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.82 : 429.86 = 213.41 : x
  2. Step 2: Convert to fraction form
    311.82/429.86 = 213.41/x
  3. Step 3: Cross multiply
    311.82x = 429.86 × 213.41
  4. Step 4: Simplify right side
    311.82x = 91,733.21
  5. Step 5: Solve for x
    x = 91,733.21/311.82
  6. Step 6: Final answer
    x = 294.19

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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.