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Finding the Fourth Proportional to 683.42, 943.11 and 388.78

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Solution

The fourth proportional to 683.42, 943.11 and 388.78 is: 536.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.42 : 943.11 = 388.78 : x
  2. Step 2: Convert to fraction form
    683.42/943.11 = 388.78/x
  3. Step 3: Cross multiply
    683.42x = 943.11 × 388.78
  4. Step 4: Simplify right side
    683.42x = 366,659.95
  5. Step 5: Solve for x
    x = 366,659.95/683.42
  6. Step 6: Final answer
    x = 536.51

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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.