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Finding the Fourth Proportional to 406.16, 609.26 and 200.90

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Solution

The fourth proportional to 406.16, 609.26 and 200.90 is: 301.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.16 : 609.26 = 200.90 : x
  2. Step 2: Convert to fraction form
    406.16/609.26 = 200.90/x
  3. Step 3: Cross multiply
    406.16x = 609.26 × 200.90
  4. Step 4: Simplify right side
    406.16x = 122,400.33
  5. Step 5: Solve for x
    x = 122,400.33/406.16
  6. Step 6: Final answer
    x = 301.36

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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.