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Finding the Fourth Proportional to 489.01, 733.51 and 200.38

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Solution

The fourth proportional to 489.01, 733.51 and 200.38 is: 300.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.01 : 733.51 = 200.38 : x
  2. Step 2: Convert to fraction form
    489.01/733.51 = 200.38/x
  3. Step 3: Cross multiply
    489.01x = 733.51 × 200.38
  4. Step 4: Simplify right side
    489.01x = 146,980.73
  5. Step 5: Solve for x
    x = 146,980.73/489.01
  6. Step 6: Final answer
    x = 300.57

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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.