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Finding the Fourth Proportional to 489.29, 734.13 and 200.75

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Solution

The fourth proportional to 489.29, 734.13 and 200.75 is: 301.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.29 : 734.13 = 200.75 : x
  2. Step 2: Convert to fraction form
    489.29/734.13 = 200.75/x
  3. Step 3: Cross multiply
    489.29x = 734.13 × 200.75
  4. Step 4: Simplify right side
    489.29x = 147,376.60
  5. Step 5: Solve for x
    x = 147,376.60/489.29
  6. Step 6: Final answer
    x = 301.21

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Why These Related Problems?

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