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Finding the Fourth Proportional to 394.11, 543.83 and 219.47

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Solution

The fourth proportional to 394.11, 543.83 and 219.47 is: 302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.11 : 543.83 = 219.47 : x
  2. Step 2: Convert to fraction form
    394.11/543.83 = 219.47/x
  3. Step 3: Cross multiply
    394.11x = 543.83 × 219.47
  4. Step 4: Simplify right side
    394.11x = 119,350.55
  5. Step 5: Solve for x
    x = 119,350.55/394.11
  6. Step 6: Final answer
    x = 302.84

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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.