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Finding the Fourth Proportional to 394.12, 543.86 and 219.46

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Solution

The fourth proportional to 394.12, 543.86 and 219.46 is: 302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.12 : 543.86 = 219.46 : x
  2. Step 2: Convert to fraction form
    394.12/543.86 = 219.46/x
  3. Step 3: Cross multiply
    394.12x = 543.86 × 219.46
  4. Step 4: Simplify right side
    394.12x = 119,355.52
  5. Step 5: Solve for x
    x = 119,355.52/394.12
  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.