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Finding the Fourth Proportional to 406.63, 609.85 and 163.09

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Solution

The fourth proportional to 406.63, 609.85 and 163.09 is: 244.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.63 : 609.85 = 163.09 : x
  2. Step 2: Convert to fraction form
    406.63/609.85 = 163.09/x
  3. Step 3: Cross multiply
    406.63x = 609.85 × 163.09
  4. Step 4: Simplify right side
    406.63x = 99,460.44
  5. Step 5: Solve for x
    x = 99,460.44/406.63
  6. Step 6: Final answer
    x = 244.60

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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.