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Finding the Fourth Proportional to 640.45, 960.72 and 229.54

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Solution

The fourth proportional to 640.45, 960.72 and 229.54 is: 344.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.45 : 960.72 = 229.54 : x
  2. Step 2: Convert to fraction form
    640.45/960.72 = 229.54/x
  3. Step 3: Cross multiply
    640.45x = 960.72 × 229.54
  4. Step 4: Simplify right side
    640.45x = 220,523.67
  5. Step 5: Solve for x
    x = 220,523.67/640.45
  6. Step 6: Final answer
    x = 344.33

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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.