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Finding the Fourth Proportional to 394.06, 543.82 and 219.42

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Solution

The fourth proportional to 394.06, 543.82 and 219.42 is: 302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.06 : 543.82 = 219.42 : x
  2. Step 2: Convert to fraction form
    394.06/543.82 = 219.42/x
  3. Step 3: Cross multiply
    394.06x = 543.82 × 219.42
  4. Step 4: Simplify right side
    394.06x = 119,324.98
  5. Step 5: Solve for x
    x = 119,324.98/394.06
  6. Step 6: Final answer
    x = 302.81

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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.