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Finding the Fourth Proportional to 640.09, 959.12 and 396.19

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Solution

The fourth proportional to 640.09, 959.12 and 396.19 is: 593.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.09 : 959.12 = 396.19 : x
  2. Step 2: Convert to fraction form
    640.09/959.12 = 396.19/x
  3. Step 3: Cross multiply
    640.09x = 959.12 × 396.19
  4. Step 4: Simplify right side
    640.09x = 379,993.75
  5. Step 5: Solve for x
    x = 379,993.75/640.09
  6. Step 6: Final answer
    x = 593.66

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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.