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Finding the Fourth Proportional to 683.88, 943.83 and 448.17

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Solution

The fourth proportional to 683.88, 943.83 and 448.17 is: 618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.88 : 943.83 = 448.17 : x
  2. Step 2: Convert to fraction form
    683.88/943.83 = 448.17/x
  3. Step 3: Cross multiply
    683.88x = 943.83 × 448.17
  4. Step 4: Simplify right side
    683.88x = 422,996.29
  5. Step 5: Solve for x
    x = 422,996.29/683.88
  6. Step 6: Final answer
    x = 618.52

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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.