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Finding the Fourth Proportional to 640.15, 960.23 and 422.17

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Solution

The fourth proportional to 640.15, 960.23 and 422.17 is: 633.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.15 : 960.23 = 422.17 : x
  2. Step 2: Convert to fraction form
    640.15/960.23 = 422.17/x
  3. Step 3: Cross multiply
    640.15x = 960.23 × 422.17
  4. Step 4: Simplify right side
    640.15x = 405,375.79
  5. Step 5: Solve for x
    x = 405,375.79/640.15
  6. Step 6: Final answer
    x = 633.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.