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Finding the Fourth Proportional to 423.37, 634.55 and 218.03

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Solution

The fourth proportional to 423.37, 634.55 and 218.03 is: 326.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.37 : 634.55 = 218.03 : x
  2. Step 2: Convert to fraction form
    423.37/634.55 = 218.03/x
  3. Step 3: Cross multiply
    423.37x = 634.55 × 218.03
  4. Step 4: Simplify right side
    423.37x = 138,351.43
  5. Step 5: Solve for x
    x = 138,351.43/423.37
  6. Step 6: Final answer
    x = 326.79

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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.