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Finding the Fourth Proportional to 460.25, 634.92 and 263.65

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Solution

The fourth proportional to 460.25, 634.92 and 263.65 is: 363.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.25 : 634.92 = 263.65 : x
  2. Step 2: Convert to fraction form
    460.25/634.92 = 263.65/x
  3. Step 3: Cross multiply
    460.25x = 634.92 × 263.65
  4. Step 4: Simplify right side
    460.25x = 167,393.48
  5. Step 5: Solve for x
    x = 167,393.48/460.25
  6. Step 6: Final answer
    x = 363.71

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