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Finding the Fourth Proportional to 406.52, 609.86 and 201.23

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Solution

The fourth proportional to 406.52, 609.86 and 201.23 is: 301.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.52 : 609.86 = 201.23 : x
  2. Step 2: Convert to fraction form
    406.52/609.86 = 201.23/x
  3. Step 3: Cross multiply
    406.52x = 609.86 × 201.23
  4. Step 4: Simplify right side
    406.52x = 122,722.13
  5. Step 5: Solve for x
    x = 122,722.13/406.52
  6. Step 6: Final answer
    x = 301.88

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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.