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Finding the Fourth Proportional to 351.28, 523.94 and 344.80

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Solution

The fourth proportional to 351.28, 523.94 and 344.80 is: 514.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.28 : 523.94 = 344.80 : x
  2. Step 2: Convert to fraction form
    351.28/523.94 = 344.80/x
  3. Step 3: Cross multiply
    351.28x = 523.94 × 344.80
  4. Step 4: Simplify right side
    351.28x = 180,654.51
  5. Step 5: Solve for x
    x = 180,654.51/351.28
  6. Step 6: Final answer
    x = 514.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.