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Finding the Fourth Proportional to 441.75, 662.46 and 198.15

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Solution

The fourth proportional to 441.75, 662.46 and 198.15 is: 297.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.75 : 662.46 = 198.15 : x
  2. Step 2: Convert to fraction form
    441.75/662.46 = 198.15/x
  3. Step 3: Cross multiply
    441.75x = 662.46 × 198.15
  4. Step 4: Simplify right side
    441.75x = 131,266.45
  5. Step 5: Solve for x
    x = 131,266.45/441.75
  6. Step 6: Final answer
    x = 297.15

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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.