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Finding the Fourth Proportional to 664.60, 996.43 and 269.03

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Solution

The fourth proportional to 664.60, 996.43 and 269.03 is: 403.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.60 : 996.43 = 269.03 : x
  2. Step 2: Convert to fraction form
    664.60/996.43 = 269.03/x
  3. Step 3: Cross multiply
    664.60x = 996.43 × 269.03
  4. Step 4: Simplify right side
    664.60x = 268,069.56
  5. Step 5: Solve for x
    x = 268,069.56/664.60
  6. Step 6: Final answer
    x = 403.35

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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.