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Finding the Fourth Proportional to 360.86, 496.97 and 277.82

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Solution

The fourth proportional to 360.86, 496.97 and 277.82 is: 382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.86 : 496.97 = 277.82 : x
  2. Step 2: Convert to fraction form
    360.86/496.97 = 277.82/x
  3. Step 3: Cross multiply
    360.86x = 496.97 × 277.82
  4. Step 4: Simplify right side
    360.86x = 138,067.71
  5. Step 5: Solve for x
    x = 138,067.71/360.86
  6. Step 6: Final answer
    x = 382.61

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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.