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Finding the Fourth Proportional to 494.70, 682.32 and 319.86

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Solution

The fourth proportional to 494.70, 682.32 and 319.86 is: 441.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.70 : 682.32 = 319.86 : x
  2. Step 2: Convert to fraction form
    494.70/682.32 = 319.86/x
  3. Step 3: Cross multiply
    494.70x = 682.32 × 319.86
  4. Step 4: Simplify right side
    494.70x = 218,246.88
  5. Step 5: Solve for x
    x = 218,246.88/494.70
  6. Step 6: Final answer
    x = 441.17

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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.