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Finding the Fourth Proportional to 682.25, 1,022.81 and 335.22

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Solution

The fourth proportional to 682.25, 1,022.81 and 335.22 is: 502.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.25 : 1,022.81 = 335.22 : x
  2. Step 2: Convert to fraction form
    682.25/1,022.81 = 335.22/x
  3. Step 3: Cross multiply
    682.25x = 1,022.81 × 335.22
  4. Step 4: Simplify right side
    682.25x = 342,864.69
  5. Step 5: Solve for x
    x = 342,864.69/682.25
  6. Step 6: Final answer
    x = 502.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.