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Finding the Fourth Proportional to 494.58, 682.82 and 329.03

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Solution

The fourth proportional to 494.58, 682.82 and 329.03 is: 454.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.58 : 682.82 = 329.03 : x
  2. Step 2: Convert to fraction form
    494.58/682.82 = 329.03/x
  3. Step 3: Cross multiply
    494.58x = 682.82 × 329.03
  4. Step 4: Simplify right side
    494.58x = 224,668.26
  5. Step 5: Solve for x
    x = 224,668.26/494.58
  6. Step 6: Final answer
    x = 454.26

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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.