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Finding the Fourth Proportional to 664.41, 997.07 and 231.57

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Solution

The fourth proportional to 664.41, 997.07 and 231.57 is: 347.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.41 : 997.07 = 231.57 : x
  2. Step 2: Convert to fraction form
    664.41/997.07 = 231.57/x
  3. Step 3: Cross multiply
    664.41x = 997.07 × 231.57
  4. Step 4: Simplify right side
    664.41x = 230,891.50
  5. Step 5: Solve for x
    x = 230,891.50/664.41
  6. Step 6: Final answer
    x = 347.51

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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.