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Finding the Fourth Proportional to 412.28, 619.03 and 169.28

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Solution

The fourth proportional to 412.28, 619.03 and 169.28 is: 254.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.28 : 619.03 = 169.28 : x
  2. Step 2: Convert to fraction form
    412.28/619.03 = 169.28/x
  3. Step 3: Cross multiply
    412.28x = 619.03 × 169.28
  4. Step 4: Simplify right side
    412.28x = 104,789.40
  5. Step 5: Solve for x
    x = 104,789.40/412.28
  6. Step 6: Final answer
    x = 254.17

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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.