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Finding the Fourth Proportional to 664.21, 997.44 and 409.33

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Solution

The fourth proportional to 664.21, 997.44 and 409.33 is: 614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.21 : 997.44 = 409.33 : x
  2. Step 2: Convert to fraction form
    664.21/997.44 = 409.33/x
  3. Step 3: Cross multiply
    664.21x = 997.44 × 409.33
  4. Step 4: Simplify right side
    664.21x = 408,282.12
  5. Step 5: Solve for x
    x = 408,282.12/664.21
  6. Step 6: Final answer
    x = 614.69

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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.