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Finding the Fourth Proportional to 683.52, 943.30 and 388.78

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Solution

The fourth proportional to 683.52, 943.30 and 388.78 is: 536.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.52 : 943.30 = 388.78 : x
  2. Step 2: Convert to fraction form
    683.52/943.30 = 388.78/x
  3. Step 3: Cross multiply
    683.52x = 943.30 × 388.78
  4. Step 4: Simplify right side
    683.52x = 366,736.17
  5. Step 5: Solve for x
    x = 366,736.17/683.52
  6. Step 6: Final answer
    x = 536.54

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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.