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Finding the Fourth Proportional to 460.01, 634.89 and 263.63

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Solution

The fourth proportional to 460.01, 634.89 and 263.63 is: 363.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.01 : 634.89 = 263.63 : x
  2. Step 2: Convert to fraction form
    460.01/634.89 = 263.63/x
  3. Step 3: Cross multiply
    460.01x = 634.89 × 263.63
  4. Step 4: Simplify right side
    460.01x = 167,376.05
  5. Step 5: Solve for x
    x = 167,376.05/460.01
  6. Step 6: Final answer
    x = 363.85

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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.