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Finding the Fourth Proportional to 635.38, 952.93 and 202.44

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Solution

The fourth proportional to 635.38, 952.93 and 202.44 is: 303.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.38 : 952.93 = 202.44 : x
  2. Step 2: Convert to fraction form
    635.38/952.93 = 202.44/x
  3. Step 3: Cross multiply
    635.38x = 952.93 × 202.44
  4. Step 4: Simplify right side
    635.38x = 192,911.15
  5. Step 5: Solve for x
    x = 192,911.15/635.38
  6. Step 6: Final answer
    x = 303.62

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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.