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Finding the Fourth Proportional to 664.60, 996.87 and 202.37

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Solution

The fourth proportional to 664.60, 996.87 and 202.37 is: 303.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.60 : 996.87 = 202.37 : x
  2. Step 2: Convert to fraction form
    664.60/996.87 = 202.37/x
  3. Step 3: Cross multiply
    664.60x = 996.87 × 202.37
  4. Step 4: Simplify right side
    664.60x = 201,730.59
  5. Step 5: Solve for x
    x = 201,730.59/664.60
  6. Step 6: Final answer
    x = 303.54

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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.