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Finding the Fourth Proportional to 441.52, 662.04 and 197.84

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Solution

The fourth proportional to 441.52, 662.04 and 197.84 is: 296.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.52 : 662.04 = 197.84 : x
  2. Step 2: Convert to fraction form
    441.52/662.04 = 197.84/x
  3. Step 3: Cross multiply
    441.52x = 662.04 × 197.84
  4. Step 4: Simplify right side
    441.52x = 130,977.99
  5. Step 5: Solve for x
    x = 130,977.99/441.52
  6. Step 6: Final answer
    x = 296.65

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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.