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Finding the Fourth Proportional to 664.69, 997.14 and 231.88

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Solution

The fourth proportional to 664.69, 997.14 and 231.88 is: 347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.69 : 997.14 = 231.88 : x
  2. Step 2: Convert to fraction form
    664.69/997.14 = 231.88/x
  3. Step 3: Cross multiply
    664.69x = 997.14 × 231.88
  4. Step 4: Simplify right side
    664.69x = 231,216.82
  5. Step 5: Solve for x
    x = 231,216.82/664.69
  6. Step 6: Final answer
    x = 347.86

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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.