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Finding the Fourth Proportional to 441.14, 662.15 and 221.92

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Solution

The fourth proportional to 441.14, 662.15 and 221.92 is: 333.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.14 : 662.15 = 221.92 : x
  2. Step 2: Convert to fraction form
    441.14/662.15 = 221.92/x
  3. Step 3: Cross multiply
    441.14x = 662.15 × 221.92
  4. Step 4: Simplify right side
    441.14x = 146,944.33
  5. Step 5: Solve for x
    x = 146,944.33/441.14
  6. Step 6: Final answer
    x = 333.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.