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Finding the Fourth Proportional to 496.09, 684.54 and 286.23

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Solution

The fourth proportional to 496.09, 684.54 and 286.23 is: 394.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.09 : 684.54 = 286.23 : x
  2. Step 2: Convert to fraction form
    496.09/684.54 = 286.23/x
  3. Step 3: Cross multiply
    496.09x = 684.54 × 286.23
  4. Step 4: Simplify right side
    496.09x = 195,935.88
  5. Step 5: Solve for x
    x = 195,935.88/496.09
  6. Step 6: Final answer
    x = 394.96

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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.