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Finding the Fourth Proportional to 683.71, 943.22 and 418.05

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Solution

The fourth proportional to 683.71, 943.22 and 418.05 is: 576.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.71 : 943.22 = 418.05 : x
  2. Step 2: Convert to fraction form
    683.71/943.22 = 418.05/x
  3. Step 3: Cross multiply
    683.71x = 943.22 × 418.05
  4. Step 4: Simplify right side
    683.71x = 394,314.17
  5. Step 5: Solve for x
    x = 394,314.17/683.71
  6. Step 6: Final answer
    x = 576.73

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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.