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Finding the Fourth Proportional to 494.25, 682.17 and 411.28

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Solution

The fourth proportional to 494.25, 682.17 and 411.28 is: 567.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.25 : 682.17 = 411.28 : x
  2. Step 2: Convert to fraction form
    494.25/682.17 = 411.28/x
  3. Step 3: Cross multiply
    494.25x = 682.17 × 411.28
  4. Step 4: Simplify right side
    494.25x = 280,561.94
  5. Step 5: Solve for x
    x = 280,561.94/494.25
  6. Step 6: Final answer
    x = 567.65

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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.