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Finding the Fourth Proportional to 635.26, 952.44 and 429.31

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Solution

The fourth proportional to 635.26, 952.44 and 429.31 is: 643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.26 : 952.44 = 429.31 : x
  2. Step 2: Convert to fraction form
    635.26/952.44 = 429.31/x
  3. Step 3: Cross multiply
    635.26x = 952.44 × 429.31
  4. Step 4: Simplify right side
    635.26x = 408,892.02
  5. Step 5: Solve for x
    x = 408,892.02/635.26
  6. Step 6: Final answer
    x = 643.66

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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.