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Finding the Fourth Proportional to 683.44, 943.19 and 388.80

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Solution

The fourth proportional to 683.44, 943.19 and 388.80 is: 536.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.44 : 943.19 = 388.80 : x
  2. Step 2: Convert to fraction form
    683.44/943.19 = 388.80/x
  3. Step 3: Cross multiply
    683.44x = 943.19 × 388.80
  4. Step 4: Simplify right side
    683.44x = 366,713.97
  5. Step 5: Solve for x
    x = 366,713.97/683.44
  6. Step 6: Final answer
    x = 536.57

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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.