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Finding the Fourth Proportional to 360.09, 496.57 and 286.27

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Solution

The fourth proportional to 360.09, 496.57 and 286.27 is: 394.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.09 : 496.57 = 286.27 : x
  2. Step 2: Convert to fraction form
    360.09/496.57 = 286.27/x
  3. Step 3: Cross multiply
    360.09x = 496.57 × 286.27
  4. Step 4: Simplify right side
    360.09x = 142,153.09
  5. Step 5: Solve for x
    x = 142,153.09/360.09
  6. Step 6: Final answer
    x = 394.77

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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.