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Finding the Fourth Proportional to 683.96, 943.92 and 435.26

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Solution

The fourth proportional to 683.96, 943.92 and 435.26 is: 600.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.96 : 943.92 = 435.26 : x
  2. Step 2: Convert to fraction form
    683.96/943.92 = 435.26/x
  3. Step 3: Cross multiply
    683.96x = 943.92 × 435.26
  4. Step 4: Simplify right side
    683.96x = 410,850.62
  5. Step 5: Solve for x
    x = 410,850.62/683.96
  6. Step 6: Final answer
    x = 600.69

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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.