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Finding the Fourth Proportional to 664.64, 996.66 and 231.50

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Solution

The fourth proportional to 664.64, 996.66 and 231.50 is: 347.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.64 : 996.66 = 231.50 : x
  2. Step 2: Convert to fraction form
    664.64/996.66 = 231.50/x
  3. Step 3: Cross multiply
    664.64x = 996.66 × 231.50
  4. Step 4: Simplify right side
    664.64x = 230,726.79
  5. Step 5: Solve for x
    x = 230,726.79/664.64
  6. Step 6: Final answer
    x = 347.15

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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.