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Finding the Fourth Proportional to 609.18, 911.61 and 446.46

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Solution

The fourth proportional to 609.18, 911.61 and 446.46 is: 668.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.18 : 911.61 = 446.46 : x
  2. Step 2: Convert to fraction form
    609.18/911.61 = 446.46/x
  3. Step 3: Cross multiply
    609.18x = 911.61 × 446.46
  4. Step 4: Simplify right side
    609.18x = 406,997.40
  5. Step 5: Solve for x
    x = 406,997.40/609.18
  6. Step 6: Final answer
    x = 668.11

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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.