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Finding the Fourth Proportional to 683.19, 942.59 and 388.41

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Solution

The fourth proportional to 683.19, 942.59 and 388.41 is: 535.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.19 : 942.59 = 388.41 : x
  2. Step 2: Convert to fraction form
    683.19/942.59 = 388.41/x
  3. Step 3: Cross multiply
    683.19x = 942.59 × 388.41
  4. Step 4: Simplify right side
    683.19x = 366,109.44
  5. Step 5: Solve for x
    x = 366,109.44/683.19
  6. Step 6: Final answer
    x = 535.88

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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.