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Finding the Fourth Proportional to 406.48, 609.45 and 201.15

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Solution

The fourth proportional to 406.48, 609.45 and 201.15 is: 301.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.48 : 609.45 = 201.15 : x
  2. Step 2: Convert to fraction form
    406.48/609.45 = 201.15/x
  3. Step 3: Cross multiply
    406.48x = 609.45 × 201.15
  4. Step 4: Simplify right side
    406.48x = 122,587.82
  5. Step 5: Solve for x
    x = 122,587.82/406.48
  6. Step 6: Final answer
    x = 301.58

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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.