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Finding the Fourth Proportional to 664.23, 996.33 and 274.35

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Solution

The fourth proportional to 664.23, 996.33 and 274.35 is: 411.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.23 : 996.33 = 274.35 : x
  2. Step 2: Convert to fraction form
    664.23/996.33 = 274.35/x
  3. Step 3: Cross multiply
    664.23x = 996.33 × 274.35
  4. Step 4: Simplify right side
    664.23x = 273,343.14
  5. Step 5: Solve for x
    x = 273,343.14/664.23
  6. Step 6: Final answer
    x = 411.52

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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.