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Finding the Fourth Proportional to 609.05, 913.83 and 414.28

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Solution

The fourth proportional to 609.05, 913.83 and 414.28 is: 621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.05 : 913.83 = 414.28 : x
  2. Step 2: Convert to fraction form
    609.05/913.83 = 414.28/x
  3. Step 3: Cross multiply
    609.05x = 913.83 × 414.28
  4. Step 4: Simplify right side
    609.05x = 378,581.49
  5. Step 5: Solve for x
    x = 378,581.49/609.05
  6. Step 6: Final answer
    x = 621.59

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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.