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Finding the Fourth Proportional to 664.23, 996.21 and 253.23

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Solution

The fourth proportional to 664.23, 996.21 and 253.23 is: 379.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.23 : 996.21 = 253.23 : x
  2. Step 2: Convert to fraction form
    664.23/996.21 = 253.23/x
  3. Step 3: Cross multiply
    664.23x = 996.21 × 253.23
  4. Step 4: Simplify right side
    664.23x = 252,270.26
  5. Step 5: Solve for x
    x = 252,270.26/664.23
  6. Step 6: Final answer
    x = 379.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.