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Finding the Fourth Proportional to 349.28, 523.22 and 280.43

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Solution

The fourth proportional to 349.28, 523.22 and 280.43 is: 420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.28 : 523.22 = 280.43 : x
  2. Step 2: Convert to fraction form
    349.28/523.22 = 280.43/x
  3. Step 3: Cross multiply
    349.28x = 523.22 × 280.43
  4. Step 4: Simplify right side
    349.28x = 146,726.49
  5. Step 5: Solve for x
    x = 146,726.49/349.28
  6. Step 6: Final answer
    x = 420.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.