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Finding the Fourth Proportional to 494.12, 682.14 and 319.80

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Solution

The fourth proportional to 494.12, 682.14 and 319.80 is: 441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.12 : 682.14 = 319.80 : x
  2. Step 2: Convert to fraction form
    494.12/682.14 = 319.80/x
  3. Step 3: Cross multiply
    494.12x = 682.14 × 319.80
  4. Step 4: Simplify right side
    494.12x = 218,148.37
  5. Step 5: Solve for x
    x = 218,148.37/494.12
  6. Step 6: Final answer
    x = 441.49

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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.