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Finding the Fourth Proportional to 344.60, 475.74 and 218.73

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Solution

The fourth proportional to 344.60, 475.74 and 218.73 is: 301.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.60 : 475.74 = 218.73 : x
  2. Step 2: Convert to fraction form
    344.60/475.74 = 218.73/x
  3. Step 3: Cross multiply
    344.60x = 475.74 × 218.73
  4. Step 4: Simplify right side
    344.60x = 104,059.80
  5. Step 5: Solve for x
    x = 104,059.80/344.60
  6. Step 6: Final answer
    x = 301.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.