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Finding the Fourth Proportional to 664.86, 997.17 and 202.52

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Solution

The fourth proportional to 664.86, 997.17 and 202.52 is: 303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.86 : 997.17 = 202.52 : x
  2. Step 2: Convert to fraction form
    664.86/997.17 = 202.52/x
  3. Step 3: Cross multiply
    664.86x = 997.17 × 202.52
  4. Step 4: Simplify right side
    664.86x = 201,943.37
  5. Step 5: Solve for x
    x = 201,943.37/664.86
  6. Step 6: Final answer
    x = 303.74

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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.