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Finding the Fourth Proportional to 394.21, 543.95 and 219.56

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Solution

The fourth proportional to 394.21, 543.95 and 219.56 is: 302.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.21 : 543.95 = 219.56 : x
  2. Step 2: Convert to fraction form
    394.21/543.95 = 219.56/x
  3. Step 3: Cross multiply
    394.21x = 543.95 × 219.56
  4. Step 4: Simplify right side
    394.21x = 119,425.84
  5. Step 5: Solve for x
    x = 119,425.84/394.21
  6. Step 6: Final answer
    x = 302.95

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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.