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Finding the Fourth Proportional to 344.74, 475.81 and 220.56

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Solution

The fourth proportional to 344.74, 475.81 and 220.56 is: 304.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.74 : 475.81 = 220.56 : x
  2. Step 2: Convert to fraction form
    344.74/475.81 = 220.56/x
  3. Step 3: Cross multiply
    344.74x = 475.81 × 220.56
  4. Step 4: Simplify right side
    344.74x = 104,944.65
  5. Step 5: Solve for x
    x = 104,944.65/344.74
  6. Step 6: Final answer
    x = 304.42

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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.