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Finding the Fourth Proportional to 494.28, 682.11 and 319.63

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Solution

The fourth proportional to 494.28, 682.11 and 319.63 is: 441.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.28 : 682.11 = 319.63 : x
  2. Step 2: Convert to fraction form
    494.28/682.11 = 319.63/x
  3. Step 3: Cross multiply
    494.28x = 682.11 × 319.63
  4. Step 4: Simplify right side
    494.28x = 218,019.01
  5. Step 5: Solve for x
    x = 218,019.01/494.28
  6. Step 6: Final answer
    x = 441.08

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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.