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Finding the Fourth Proportional to 664.68, 997.04 and 231.80

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Solution

The fourth proportional to 664.68, 997.04 and 231.80 is: 347.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.68 : 997.04 = 231.80 : x
  2. Step 2: Convert to fraction form
    664.68/997.04 = 231.80/x
  3. Step 3: Cross multiply
    664.68x = 997.04 × 231.80
  4. Step 4: Simplify right side
    664.68x = 231,113.87
  5. Step 5: Solve for x
    x = 231,113.87/664.68
  6. Step 6: Final answer
    x = 347.71

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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.