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Finding the Fourth Proportional to 460.26, 634.96 and 263.63

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Solution

The fourth proportional to 460.26, 634.96 and 263.63 is: 363.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.26 : 634.96 = 263.63 : x
  2. Step 2: Convert to fraction form
    460.26/634.96 = 263.63/x
  3. Step 3: Cross multiply
    460.26x = 634.96 × 263.63
  4. Step 4: Simplify right side
    460.26x = 167,394.50
  5. Step 5: Solve for x
    x = 167,394.50/460.26
  6. Step 6: Final answer
    x = 363.70

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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.