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Finding the Fourth Proportional to 609.20, 914.20 and 301.26

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Solution

The fourth proportional to 609.20, 914.20 and 301.26 is: 452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.20 : 914.20 = 301.26 : x
  2. Step 2: Convert to fraction form
    609.20/914.20 = 301.26/x
  3. Step 3: Cross multiply
    609.20x = 914.20 × 301.26
  4. Step 4: Simplify right side
    609.20x = 275,411.89
  5. Step 5: Solve for x
    x = 275,411.89/609.20
  6. Step 6: Final answer
    x = 452.09

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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.