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Finding the Fourth Proportional to 635.57, 952.67 and 343.06

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Solution

The fourth proportional to 635.57, 952.67 and 343.06 is: 514.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.57 : 952.67 = 343.06 : x
  2. Step 2: Convert to fraction form
    635.57/952.67 = 343.06/x
  3. Step 3: Cross multiply
    635.57x = 952.67 × 343.06
  4. Step 4: Simplify right side
    635.57x = 326,823.16
  5. Step 5: Solve for x
    x = 326,823.16/635.57
  6. Step 6: Final answer
    x = 514.22

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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.