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Finding the Fourth Proportional to 441.31, 662.19 and 198.01

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Solution

The fourth proportional to 441.31, 662.19 and 198.01 is: 297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.31 : 662.19 = 198.01 : x
  2. Step 2: Convert to fraction form
    441.31/662.19 = 198.01/x
  3. Step 3: Cross multiply
    441.31x = 662.19 × 198.01
  4. Step 4: Simplify right side
    441.31x = 131,120.24
  5. Step 5: Solve for x
    x = 131,120.24/441.31
  6. Step 6: Final answer
    x = 297.12

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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.