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Finding the Fourth Proportional to 441.60, 662.30 and 198.06

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Solution

The fourth proportional to 441.60, 662.30 and 198.06 is: 297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.60 : 662.30 = 198.06 : x
  2. Step 2: Convert to fraction form
    441.60/662.30 = 198.06/x
  3. Step 3: Cross multiply
    441.60x = 662.30 × 198.06
  4. Step 4: Simplify right side
    441.60x = 131,175.14
  5. Step 5: Solve for x
    x = 131,175.14/441.60
  6. Step 6: Final answer
    x = 297.05

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