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Finding the Fourth Proportional to 494.92, 683.33 and 329.47

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Solution

The fourth proportional to 494.92, 683.33 and 329.47 is: 454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.92 : 683.33 = 329.47 : x
  2. Step 2: Convert to fraction form
    494.92/683.33 = 329.47/x
  3. Step 3: Cross multiply
    494.92x = 683.33 × 329.47
  4. Step 4: Simplify right side
    494.92x = 225,136.74
  5. Step 5: Solve for x
    x = 225,136.74/494.92
  6. Step 6: Final answer
    x = 454.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.