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Finding the Fourth Proportional to 406.56, 609.38 and 200.69

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Solution

The fourth proportional to 406.56, 609.38 and 200.69 is: 300.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.56 : 609.38 = 200.69 : x
  2. Step 2: Convert to fraction form
    406.56/609.38 = 200.69/x
  3. Step 3: Cross multiply
    406.56x = 609.38 × 200.69
  4. Step 4: Simplify right side
    406.56x = 122,295.45
  5. Step 5: Solve for x
    x = 122,295.45/406.56
  6. Step 6: Final answer
    x = 300.81

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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.