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Finding the Fourth Proportional to 344.30, 475.22 and 213.23

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Solution

The fourth proportional to 344.30, 475.22 and 213.23 is: 294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.30 : 475.22 = 213.23 : x
  2. Step 2: Convert to fraction form
    344.30/475.22 = 213.23/x
  3. Step 3: Cross multiply
    344.30x = 475.22 × 213.23
  4. Step 4: Simplify right side
    344.30x = 101,331.16
  5. Step 5: Solve for x
    x = 101,331.16/344.30
  6. Step 6: Final answer
    x = 294.31

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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.