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Finding the Fourth Proportional to 344.14, 475.00 and 213.07

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Solution

The fourth proportional to 344.14, 475.00 and 213.07 is: 294.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.14 : 475.00 = 213.07 : x
  2. Step 2: Convert to fraction form
    344.14/475.00 = 213.07/x
  3. Step 3: Cross multiply
    344.14x = 475.00 × 213.07
  4. Step 4: Simplify right side
    344.14x = 101,209.11
  5. Step 5: Solve for x
    x = 101,209.11/344.14
  6. Step 6: Final answer
    x = 294.09

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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.