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Finding the Fourth Proportional to 412.71, 619.08 and 169.09

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Solution

The fourth proportional to 412.71, 619.08 and 169.09 is: 253.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.71 : 619.08 = 169.09 : x
  2. Step 2: Convert to fraction form
    412.71/619.08 = 169.09/x
  3. Step 3: Cross multiply
    412.71x = 619.08 × 169.09
  4. Step 4: Simplify right side
    412.71x = 104,678.06
  5. Step 5: Solve for x
    x = 104,678.06/412.71
  6. Step 6: Final answer
    x = 253.63

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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.