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Finding the Fourth Proportional to 329.92, 494.88 and 200

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Solution

The fourth proportional to 329.92, 494.88 and 200 is: 300

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.92 : 494.88 = 200 : x
  2. Step 2: Convert to fraction form
    329.92/494.88 = 200/x
  3. Step 3: Cross multiply
    329.92x = 494.88 × 200
  4. Step 4: Simplify right side
    329.92x = 98,976
  5. Step 5: Solve for x
    x = 98,976/329.92
  6. Step 6: Final answer
    x = 300

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.