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Finding the Fourth Proportional to 683.82, 943.32 and 447.84

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Solution

The fourth proportional to 683.82, 943.32 and 447.84 is: 617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.82 : 943.32 = 447.84 : x
  2. Step 2: Convert to fraction form
    683.82/943.32 = 447.84/x
  3. Step 3: Cross multiply
    683.82x = 943.32 × 447.84
  4. Step 4: Simplify right side
    683.82x = 422,456.43
  5. Step 5: Solve for x
    x = 422,456.43/683.82
  6. Step 6: Final answer
    x = 617.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.