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Finding the Fourth Proportional to 496.23, 684.75 and 286.37

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Solution

The fourth proportional to 496.23, 684.75 and 286.37 is: 395.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.23 : 684.75 = 286.37 : x
  2. Step 2: Convert to fraction form
    496.23/684.75 = 286.37/x
  3. Step 3: Cross multiply
    496.23x = 684.75 × 286.37
  4. Step 4: Simplify right side
    496.23x = 196,088.43
  5. Step 5: Solve for x
    x = 196,088.43/496.23
  6. Step 6: Final answer
    x = 395.16

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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.