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Finding the Fourth Proportional to 489.00, 733.50 and 180.49

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Solution

The fourth proportional to 489.00, 733.50 and 180.49 is: 270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.00 : 733.50 = 180.49 : x
  2. Step 2: Convert to fraction form
    489.00/733.50 = 180.49/x
  3. Step 3: Cross multiply
    489.00x = 733.50 × 180.49
  4. Step 4: Simplify right side
    489.00x = 132,390.44
  5. Step 5: Solve for x
    x = 132,390.44/489.00
  6. Step 6: Final answer
    x = 270.74

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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.