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Finding the Fourth Proportional to 441.61, 662.37 and 133.54

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Solution

The fourth proportional to 441.61, 662.37 and 133.54 is: 200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.61 : 662.37 = 133.54 : x
  2. Step 2: Convert to fraction form
    441.61/662.37 = 133.54/x
  3. Step 3: Cross multiply
    441.61x = 662.37 × 133.54
  4. Step 4: Simplify right side
    441.61x = 88,452.89
  5. Step 5: Solve for x
    x = 88,452.89/441.61
  6. Step 6: Final answer
    x = 200.30

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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.