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Finding the Fourth Proportional to 664.30, 996.76 and 202.15

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Solution

The fourth proportional to 664.30, 996.76 and 202.15 is: 303.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.30 : 996.76 = 202.15 : x
  2. Step 2: Convert to fraction form
    664.30/996.76 = 202.15/x
  3. Step 3: Cross multiply
    664.30x = 996.76 × 202.15
  4. Step 4: Simplify right side
    664.30x = 201,489.79
  5. Step 5: Solve for x
    x = 201,489.79/664.30
  6. Step 6: Final answer
    x = 303.31

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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.