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Finding the Fourth Proportional to 406.97, 609.52 and 244.29

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Solution

The fourth proportional to 406.97, 609.52 and 244.29 is: 365.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.97 : 609.52 = 244.29 : x
  2. Step 2: Convert to fraction form
    406.97/609.52 = 244.29/x
  3. Step 3: Cross multiply
    406.97x = 609.52 × 244.29
  4. Step 4: Simplify right side
    406.97x = 148,899.64
  5. Step 5: Solve for x
    x = 148,899.64/406.97
  6. Step 6: Final answer
    x = 365.87

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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.