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Finding the Fourth Proportional to 635.09, 952.43 and 196.34

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Solution

The fourth proportional to 635.09, 952.43 and 196.34 is: 294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.09 : 952.43 = 196.34 : x
  2. Step 2: Convert to fraction form
    635.09/952.43 = 196.34/x
  3. Step 3: Cross multiply
    635.09x = 952.43 × 196.34
  4. Step 4: Simplify right side
    635.09x = 186,994.36
  5. Step 5: Solve for x
    x = 186,994.36/635.09
  6. Step 6: Final answer
    x = 294.44

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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.