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Finding the Fourth Proportional to 394.34, 543.99 and 254.41

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Solution

The fourth proportional to 394.34, 543.99 and 254.41 is: 350.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.34 : 543.99 = 254.41 : x
  2. Step 2: Convert to fraction form
    394.34/543.99 = 254.41/x
  3. Step 3: Cross multiply
    394.34x = 543.99 × 254.41
  4. Step 4: Simplify right side
    394.34x = 138,395.14
  5. Step 5: Solve for x
    x = 138,395.14/394.34
  6. Step 6: Final answer
    x = 350.96

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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.