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Finding the Fourth Proportional to 394.44, 543.78 and 306.60

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Solution

The fourth proportional to 394.44, 543.78 and 306.60 is: 422.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.44 : 543.78 = 306.60 : x
  2. Step 2: Convert to fraction form
    394.44/543.78 = 306.60/x
  3. Step 3: Cross multiply
    394.44x = 543.78 × 306.60
  4. Step 4: Simplify right side
    394.44x = 166,722.95
  5. Step 5: Solve for x
    x = 166,722.95/394.44
  6. Step 6: Final answer
    x = 422.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.