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Finding the Fourth Proportional to 664.43, 996.72 and 253.66

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Solution

The fourth proportional to 664.43, 996.72 and 253.66 is: 380.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.43 : 996.72 = 253.66 : x
  2. Step 2: Convert to fraction form
    664.43/996.72 = 253.66/x
  3. Step 3: Cross multiply
    664.43x = 996.72 × 253.66
  4. Step 4: Simplify right side
    664.43x = 252,823.01
  5. Step 5: Solve for x
    x = 252,823.01/664.43
  6. Step 6: Final answer
    x = 380.51

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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.