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Finding the Fourth Proportional to 640.90, 960.44 and 255.70

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Solution

The fourth proportional to 640.90, 960.44 and 255.70 is: 383.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.90 : 960.44 = 255.70 : x
  2. Step 2: Convert to fraction form
    640.90/960.44 = 255.70/x
  3. Step 3: Cross multiply
    640.90x = 960.44 × 255.70
  4. Step 4: Simplify right side
    640.90x = 245,578.43
  5. Step 5: Solve for x
    x = 245,578.43/640.90
  6. Step 6: Final answer
    x = 383.18

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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.