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Finding the Fourth Proportional to 664.31, 996.63 and 202.09

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Solution

The fourth proportional to 664.31, 996.63 and 202.09 is: 303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.31 : 996.63 = 202.09 : x
  2. Step 2: Convert to fraction form
    664.31/996.63 = 202.09/x
  3. Step 3: Cross multiply
    664.31x = 996.63 × 202.09
  4. Step 4: Simplify right side
    664.31x = 201,408.96
  5. Step 5: Solve for x
    x = 201,408.96/664.31
  6. Step 6: Final answer
    x = 303.19

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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.