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Finding the Fourth Proportional to 441.75, 662.62 and 133.63

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Solution

The fourth proportional to 441.75, 662.62 and 133.63 is: 200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.75 : 662.62 = 133.63 : x
  2. Step 2: Convert to fraction form
    441.75/662.62 = 133.63/x
  3. Step 3: Cross multiply
    441.75x = 662.62 × 133.63
  4. Step 4: Simplify right side
    441.75x = 88,542.60
  5. Step 5: Solve for x
    x = 88,542.60/441.75
  6. Step 6: Final answer
    x = 200.44

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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.