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Finding the Fourth Proportional to 412.71, 618.80 and 169.31

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Solution

The fourth proportional to 412.71, 618.80 and 169.31 is: 253.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.71 : 618.80 = 169.31 : x
  2. Step 2: Convert to fraction form
    412.71/618.80 = 169.31/x
  3. Step 3: Cross multiply
    412.71x = 618.80 × 169.31
  4. Step 4: Simplify right side
    412.71x = 104,765.09
  5. Step 5: Solve for x
    x = 104,765.09/412.71
  6. Step 6: Final answer
    x = 253.85

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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.