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Finding the Fourth Proportional to 406.70, 609.27 and 201.41

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Solution

The fourth proportional to 406.70, 609.27 and 201.41 is: 301.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.70 : 609.27 = 201.41 : x
  2. Step 2: Convert to fraction form
    406.70/609.27 = 201.41/x
  3. Step 3: Cross multiply
    406.70x = 609.27 × 201.41
  4. Step 4: Simplify right side
    406.70x = 122,710.02
  5. Step 5: Solve for x
    x = 122,710.02/406.70
  6. Step 6: Final answer
    x = 301.72

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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.