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Finding the Fourth Proportional to 635.23, 952.16 and 415.16

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Solution

The fourth proportional to 635.23, 952.16 and 415.16 is: 622.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.23 : 952.16 = 415.16 : x
  2. Step 2: Convert to fraction form
    635.23/952.16 = 415.16/x
  3. Step 3: Cross multiply
    635.23x = 952.16 × 415.16
  4. Step 4: Simplify right side
    635.23x = 395,295.48
  5. Step 5: Solve for x
    x = 395,295.48/635.23
  6. Step 6: Final answer
    x = 622.29

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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.