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Finding the Fourth Proportional to 412.98, 619.19 and 169.26

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Solution

The fourth proportional to 412.98, 619.19 and 169.26 is: 253.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.98 : 619.19 = 169.26 : x
  2. Step 2: Convert to fraction form
    412.98/619.19 = 169.26/x
  3. Step 3: Cross multiply
    412.98x = 619.19 × 169.26
  4. Step 4: Simplify right side
    412.98x = 104,804.10
  5. Step 5: Solve for x
    x = 104,804.10/412.98
  6. Step 6: Final answer
    x = 253.78

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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.