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Finding the Fourth Proportional to 460.26, 635.10 and 263.73

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Solution

The fourth proportional to 460.26, 635.10 and 263.73 is: 363.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.26 : 635.10 = 263.73 : x
  2. Step 2: Convert to fraction form
    460.26/635.10 = 263.73/x
  3. Step 3: Cross multiply
    460.26x = 635.10 × 263.73
  4. Step 4: Simplify right side
    460.26x = 167,494.92
  5. Step 5: Solve for x
    x = 167,494.92/460.26
  6. Step 6: Final answer
    x = 363.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.