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Finding the Fourth Proportional to 640.14, 960.11 and 201.29

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Solution

The fourth proportional to 640.14, 960.11 and 201.29 is: 301.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.14 : 960.11 = 201.29 : x
  2. Step 2: Convert to fraction form
    640.14/960.11 = 201.29/x
  3. Step 3: Cross multiply
    640.14x = 960.11 × 201.29
  4. Step 4: Simplify right side
    640.14x = 193,254.73
  5. Step 5: Solve for x
    x = 193,254.73/640.14
  6. Step 6: Final answer
    x = 301.89

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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.