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Finding the Fourth Proportional to 412.90, 619.34 and 169.36

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Solution

The fourth proportional to 412.90, 619.34 and 169.36 is: 254.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.90 : 619.34 = 169.36 : x
  2. Step 2: Convert to fraction form
    412.90/619.34 = 169.36/x
  3. Step 3: Cross multiply
    412.90x = 619.34 × 169.36
  4. Step 4: Simplify right side
    412.90x = 104,891.42
  5. Step 5: Solve for x
    x = 104,891.42/412.90
  6. Step 6: Final answer
    x = 254.04

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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.