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Finding the Fourth Proportional to 406.06, 609.20 and 200.39

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Solution

The fourth proportional to 406.06, 609.20 and 200.39 is: 300.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.06 : 609.20 = 200.39 : x
  2. Step 2: Convert to fraction form
    406.06/609.20 = 200.39/x
  3. Step 3: Cross multiply
    406.06x = 609.20 × 200.39
  4. Step 4: Simplify right side
    406.06x = 122,078.85
  5. Step 5: Solve for x
    x = 122,078.85/406.06
  6. Step 6: Final answer
    x = 300.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.