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Finding the Fourth Proportional to 635.45, 952.61 and 343.11

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Solution

The fourth proportional to 635.45, 952.61 and 343.11 is: 514.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.45 : 952.61 = 343.11 : x
  2. Step 2: Convert to fraction form
    635.45/952.61 = 343.11/x
  3. Step 3: Cross multiply
    635.45x = 952.61 × 343.11
  4. Step 4: Simplify right side
    635.45x = 326,850.02
  5. Step 5: Solve for x
    x = 326,850.02/635.45
  6. Step 6: Final answer
    x = 514.36

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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.