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Finding the Fourth Proportional to 360.32, 496.92 and 282.56

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Solution

The fourth proportional to 360.32, 496.92 and 282.56 is: 389.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.32 : 496.92 = 282.56 : x
  2. Step 2: Convert to fraction form
    360.32/496.92 = 282.56/x
  3. Step 3: Cross multiply
    360.32x = 496.92 × 282.56
  4. Step 4: Simplify right side
    360.32x = 140,409.72
  5. Step 5: Solve for x
    x = 140,409.72/360.32
  6. Step 6: Final answer
    x = 389.68

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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.