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Finding the Fourth Proportional to 311.83, 430.40 and 213.63

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Solution

The fourth proportional to 311.83, 430.40 and 213.63 is: 294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.83 : 430.40 = 213.63 : x
  2. Step 2: Convert to fraction form
    311.83/430.40 = 213.63/x
  3. Step 3: Cross multiply
    311.83x = 430.40 × 213.63
  4. Step 4: Simplify right side
    311.83x = 91,946.35
  5. Step 5: Solve for x
    x = 91,946.35/311.83
  6. Step 6: Final answer
    x = 294.86

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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.