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Finding the Fourth Proportional to 409, 609.89 and 379.24

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Solution

The fourth proportional to 409, 609.89 and 379.24 is: 565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409 : 609.89 = 379.24 : x
  2. Step 2: Convert to fraction form
    409/609.89 = 379.24/x
  3. Step 3: Cross multiply
    409x = 609.89 × 379.24
  4. Step 4: Simplify right side
    409x = 231,294.68
  5. Step 5: Solve for x
    x = 231,294.68/409
  6. Step 6: Final answer
    x = 565.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.