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Finding the Fourth Proportional to 640.10, 960.36 and 396.29

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Solution

The fourth proportional to 640.10, 960.36 and 396.29 is: 594.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.10 : 960.36 = 396.29 : x
  2. Step 2: Convert to fraction form
    640.10/960.36 = 396.29/x
  3. Step 3: Cross multiply
    640.10x = 960.36 × 396.29
  4. Step 4: Simplify right side
    640.10x = 380,581.98
  5. Step 5: Solve for x
    x = 380,581.98/640.10
  6. Step 6: Final answer
    x = 594.56

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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.