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Finding the Fourth Proportional to 664.53, 996.84 and 274.68

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Solution

The fourth proportional to 664.53, 996.84 and 274.68 is: 412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.53 : 996.84 = 274.68 : x
  2. Step 2: Convert to fraction form
    664.53/996.84 = 274.68/x
  3. Step 3: Cross multiply
    664.53x = 996.84 × 274.68
  4. Step 4: Simplify right side
    664.53x = 273,812.01
  5. Step 5: Solve for x
    x = 273,812.01/664.53
  6. Step 6: Final answer
    x = 412.04

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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.