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Finding the Fourth Proportional to 488.83, 733.25 and 180.77

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Solution

The fourth proportional to 488.83, 733.25 and 180.77 is: 271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.83 : 733.25 = 180.77 : x
  2. Step 2: Convert to fraction form
    488.83/733.25 = 180.77/x
  3. Step 3: Cross multiply
    488.83x = 733.25 × 180.77
  4. Step 4: Simplify right side
    488.83x = 132,546.39
  5. Step 5: Solve for x
    x = 132,546.39/488.83
  6. Step 6: Final answer
    x = 271.15

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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.