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Finding the Fourth Proportional to 609.09, 913.73 and 301.29

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Solution

The fourth proportional to 609.09, 913.73 and 301.29 is: 451.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.09 : 913.73 = 301.29 : x
  2. Step 2: Convert to fraction form
    609.09/913.73 = 301.29/x
  3. Step 3: Cross multiply
    609.09x = 913.73 × 301.29
  4. Step 4: Simplify right side
    609.09x = 275,296.21
  5. Step 5: Solve for x
    x = 275,296.21/609.09
  6. Step 6: Final answer
    x = 451.98

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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.