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Finding the Fourth Proportional to 360.82, 496.82 and 282.46

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Solution

The fourth proportional to 360.82, 496.82 and 282.46 is: 388.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.82 : 496.82 = 282.46 : x
  2. Step 2: Convert to fraction form
    360.82/496.82 = 282.46/x
  3. Step 3: Cross multiply
    360.82x = 496.82 × 282.46
  4. Step 4: Simplify right side
    360.82x = 140,331.78
  5. Step 5: Solve for x
    x = 140,331.78/360.82
  6. Step 6: Final answer
    x = 388.92

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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.