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Finding the Fourth Proportional to 635.25, 952.53 and 326.98

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Solution

The fourth proportional to 635.25, 952.53 and 326.98 is: 490.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.25 : 952.53 = 326.98 : x
  2. Step 2: Convert to fraction form
    635.25/952.53 = 326.98/x
  3. Step 3: Cross multiply
    635.25x = 952.53 × 326.98
  4. Step 4: Simplify right side
    635.25x = 311,458.26
  5. Step 5: Solve for x
    x = 311,458.26/635.25
  6. Step 6: Final answer
    x = 490.29

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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.