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Finding the Fourth Proportional to 664.39, 996.63 and 483.94

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Solution

The fourth proportional to 664.39, 996.63 and 483.94 is: 725.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.39 : 996.63 = 483.94 : x
  2. Step 2: Convert to fraction form
    664.39/996.63 = 483.94/x
  3. Step 3: Cross multiply
    664.39x = 996.63 × 483.94
  4. Step 4: Simplify right side
    664.39x = 482,309.12
  5. Step 5: Solve for x
    x = 482,309.12/664.39
  6. Step 6: Final answer
    x = 725.94

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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.