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Finding the Fourth Proportional to 406.47, 609.90 and 201.06

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Solution

The fourth proportional to 406.47, 609.90 and 201.06 is: 301.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.47 : 609.90 = 201.06 : x
  2. Step 2: Convert to fraction form
    406.47/609.90 = 201.06/x
  3. Step 3: Cross multiply
    406.47x = 609.90 × 201.06
  4. Step 4: Simplify right side
    406.47x = 122,626.53
  5. Step 5: Solve for x
    x = 122,626.53/406.47
  6. Step 6: Final answer
    x = 301.68

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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.