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Finding the Fourth Proportional to 635.09, 952.83 and 326.88

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Solution

The fourth proportional to 635.09, 952.83 and 326.88 is: 490.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.09 : 952.83 = 326.88 : x
  2. Step 2: Convert to fraction form
    635.09/952.83 = 326.88/x
  3. Step 3: Cross multiply
    635.09x = 952.83 × 326.88
  4. Step 4: Simplify right side
    635.09x = 311,461.07
  5. Step 5: Solve for x
    x = 311,461.07/635.09
  6. Step 6: Final answer
    x = 490.42

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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.