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Finding the Fourth Proportional to 683.20, 942.96 and 388.54

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Solution

The fourth proportional to 683.20, 942.96 and 388.54 is: 536.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.20 : 942.96 = 388.54 : x
  2. Step 2: Convert to fraction form
    683.20/942.96 = 388.54/x
  3. Step 3: Cross multiply
    683.20x = 942.96 × 388.54
  4. Step 4: Simplify right side
    683.20x = 366,377.68
  5. Step 5: Solve for x
    x = 366,377.68/683.20
  6. Step 6: Final answer
    x = 536.27

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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.