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Finding the Fourth Proportional to 462.43, 693.83 and 205.75

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Solution

The fourth proportional to 462.43, 693.83 and 205.75 is: 308.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.43 : 693.83 = 205.75 : x
  2. Step 2: Convert to fraction form
    462.43/693.83 = 205.75/x
  3. Step 3: Cross multiply
    462.43x = 693.83 × 205.75
  4. Step 4: Simplify right side
    462.43x = 142,755.52
  5. Step 5: Solve for x
    x = 142,755.52/462.43
  6. Step 6: Final answer
    x = 308.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.