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Finding the Fourth Proportional to 664.43, 996.78 and 231.57

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Solution

The fourth proportional to 664.43, 996.78 and 231.57 is: 347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.43 : 996.78 = 231.57 : x
  2. Step 2: Convert to fraction form
    664.43/996.78 = 231.57/x
  3. Step 3: Cross multiply
    664.43x = 996.78 × 231.57
  4. Step 4: Simplify right side
    664.43x = 230,824.34
  5. Step 5: Solve for x
    x = 230,824.34/664.43
  6. Step 6: Final answer
    x = 347.40

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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.