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Finding the Fourth Proportional to 683.15, 942.74 and 388.41

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Solution

The fourth proportional to 683.15, 942.74 and 388.41 is: 536.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.15 : 942.74 = 388.41 : x
  2. Step 2: Convert to fraction form
    683.15/942.74 = 388.41/x
  3. Step 3: Cross multiply
    683.15x = 942.74 × 388.41
  4. Step 4: Simplify right side
    683.15x = 366,167.70
  5. Step 5: Solve for x
    x = 366,167.70/683.15
  6. Step 6: Final answer
    x = 536.00

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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.