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Finding the Fourth Proportional to 406.78, 609.75 and 163.20

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Solution

The fourth proportional to 406.78, 609.75 and 163.20 is: 244.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.78 : 609.75 = 163.20 : x
  2. Step 2: Convert to fraction form
    406.78/609.75 = 163.20/x
  3. Step 3: Cross multiply
    406.78x = 609.75 × 163.20
  4. Step 4: Simplify right side
    406.78x = 99,511.20
  5. Step 5: Solve for x
    x = 99,511.20/406.78
  6. Step 6: Final answer
    x = 244.63

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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.