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Finding the Fourth Proportional to 494.39, 682.02 and 297.83

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Solution

The fourth proportional to 494.39, 682.02 and 297.83 is: 410.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.39 : 682.02 = 297.83 : x
  2. Step 2: Convert to fraction form
    494.39/682.02 = 297.83/x
  3. Step 3: Cross multiply
    494.39x = 682.02 × 297.83
  4. Step 4: Simplify right side
    494.39x = 203,126.02
  5. Step 5: Solve for x
    x = 203,126.02/494.39
  6. Step 6: Final answer
    x = 410.86

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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.