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Finding the Fourth Proportional to 494.59, 682.84 and 308.35

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Solution

The fourth proportional to 494.59, 682.84 and 308.35 is: 425.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.59 : 682.84 = 308.35 : x
  2. Step 2: Convert to fraction form
    494.59/682.84 = 308.35/x
  3. Step 3: Cross multiply
    494.59x = 682.84 × 308.35
  4. Step 4: Simplify right side
    494.59x = 210,550.30
  5. Step 5: Solve for x
    x = 210,550.30/494.59
  6. Step 6: Final answer
    x = 425.71

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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.