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Finding the Fourth Proportional to 640.27, 960.30 and 229.33

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Solution

The fourth proportional to 640.27, 960.30 and 229.33 is: 343.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.27 : 960.30 = 229.33 : x
  2. Step 2: Convert to fraction form
    640.27/960.30 = 229.33/x
  3. Step 3: Cross multiply
    640.27x = 960.30 × 229.33
  4. Step 4: Simplify right side
    640.27x = 220,223.20
  5. Step 5: Solve for x
    x = 220,223.20/640.27
  6. Step 6: Final answer
    x = 343.95

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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.