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Finding the Fourth Proportional to 423.98, 635.96 and 218.43

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Solution

The fourth proportional to 423.98, 635.96 and 218.43 is: 327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.98 : 635.96 = 218.43 : x
  2. Step 2: Convert to fraction form
    423.98/635.96 = 218.43/x
  3. Step 3: Cross multiply
    423.98x = 635.96 × 218.43
  4. Step 4: Simplify right side
    423.98x = 138,908.47
  5. Step 5: Solve for x
    x = 138,908.47/423.98
  6. Step 6: Final answer
    x = 327.63

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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.