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Finding the Fourth Proportional to 445.20, 668.09 and 201.72

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Solution

The fourth proportional to 445.20, 668.09 and 201.72 is: 302.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.20 : 668.09 = 201.72 : x
  2. Step 2: Convert to fraction form
    445.20/668.09 = 201.72/x
  3. Step 3: Cross multiply
    445.20x = 668.09 × 201.72
  4. Step 4: Simplify right side
    445.20x = 134,766.11
  5. Step 5: Solve for x
    x = 134,766.11/445.20
  6. Step 6: Final answer
    x = 302.71

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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.