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Finding the Fourth Proportional to 394.14, 543.85 and 219.49

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Solution

The fourth proportional to 394.14, 543.85 and 219.49 is: 302.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.14 : 543.85 = 219.49 : x
  2. Step 2: Convert to fraction form
    394.14/543.85 = 219.49/x
  3. Step 3: Cross multiply
    394.14x = 543.85 × 219.49
  4. Step 4: Simplify right side
    394.14x = 119,369.64
  5. Step 5: Solve for x
    x = 119,369.64/394.14
  6. Step 6: Final answer
    x = 302.86

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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.