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Finding the Fourth Proportional to 635.35, 952.53 and 326.86

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Solution

The fourth proportional to 635.35, 952.53 and 326.86 is: 490.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.35 : 952.53 = 326.86 : x
  2. Step 2: Convert to fraction form
    635.35/952.53 = 326.86/x
  3. Step 3: Cross multiply
    635.35x = 952.53 × 326.86
  4. Step 4: Simplify right side
    635.35x = 311,343.96
  5. Step 5: Solve for x
    x = 311,343.96/635.35
  6. Step 6: Final answer
    x = 490.04

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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.