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Finding the Fourth Proportional to 344.28, 474.90 and 213.24

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Solution

The fourth proportional to 344.28, 474.90 and 213.24 is: 294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.28 : 474.90 = 213.24 : x
  2. Step 2: Convert to fraction form
    344.28/474.90 = 213.24/x
  3. Step 3: Cross multiply
    344.28x = 474.90 × 213.24
  4. Step 4: Simplify right side
    344.28x = 101,267.68
  5. Step 5: Solve for x
    x = 101,267.68/344.28
  6. Step 6: Final answer
    x = 294.14

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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.