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Finding the Fourth Proportional to 494.91, 682.37 and 406.28

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Solution

The fourth proportional to 494.91, 682.37 and 406.28 is: 560.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.91 : 682.37 = 406.28 : x
  2. Step 2: Convert to fraction form
    494.91/682.37 = 406.28/x
  3. Step 3: Cross multiply
    494.91x = 682.37 × 406.28
  4. Step 4: Simplify right side
    494.91x = 277,232.96
  5. Step 5: Solve for x
    x = 277,232.96/494.91
  6. Step 6: Final answer
    x = 560.17

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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.