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Finding the Fourth Proportional to 664.84, 997.26 and 232.00

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Solution

The fourth proportional to 664.84, 997.26 and 232.00 is: 347.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.84 : 997.26 = 232.00 : x
  2. Step 2: Convert to fraction form
    664.84/997.26 = 232.00/x
  3. Step 3: Cross multiply
    664.84x = 997.26 × 232.00
  4. Step 4: Simplify right side
    664.84x = 231,359.33
  5. Step 5: Solve for x
    x = 231,359.33/664.84
  6. Step 6: Final answer
    x = 347.99

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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.