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Finding the Fourth Proportional to 427.26, 640.41 and 218.44

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Solution

The fourth proportional to 427.26, 640.41 and 218.44 is: 327.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.26 : 640.41 = 218.44 : x
  2. Step 2: Convert to fraction form
    427.26/640.41 = 218.44/x
  3. Step 3: Cross multiply
    427.26x = 640.41 × 218.44
  4. Step 4: Simplify right side
    427.26x = 139,888.74
  5. Step 5: Solve for x
    x = 139,888.74/427.26
  6. Step 6: Final answer
    x = 327.41

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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.