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Finding the Fourth Proportional to 489.06, 733.28 and 180.86

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Solution

The fourth proportional to 489.06, 733.28 and 180.86 is: 271.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.06 : 733.28 = 180.86 : x
  2. Step 2: Convert to fraction form
    489.06/733.28 = 180.86/x
  3. Step 3: Cross multiply
    489.06x = 733.28 × 180.86
  4. Step 4: Simplify right side
    489.06x = 132,616.45
  5. Step 5: Solve for x
    x = 132,616.45/489.06
  6. Step 6: Final answer
    x = 271.17

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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.