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Finding the Fourth Proportional to 311.79, 429.80 and 213.24

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Solution

The fourth proportional to 311.79, 429.80 and 213.24 is: 293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.79 : 429.80 = 213.24 : x
  2. Step 2: Convert to fraction form
    311.79/429.80 = 213.24/x
  3. Step 3: Cross multiply
    311.79x = 429.80 × 213.24
  4. Step 4: Simplify right side
    311.79x = 91,649.49
  5. Step 5: Solve for x
    x = 91,649.49/311.79
  6. Step 6: Final answer
    x = 293.95

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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.