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Finding the Fourth Proportional to 488.98, 733.46 and 180.82

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Solution

The fourth proportional to 488.98, 733.46 and 180.82 is: 271.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.98 : 733.46 = 180.82 : x
  2. Step 2: Convert to fraction form
    488.98/733.46 = 180.82/x
  3. Step 3: Cross multiply
    488.98x = 733.46 × 180.82
  4. Step 4: Simplify right side
    488.98x = 132,626.31
  5. Step 5: Solve for x
    x = 132,626.31/488.98
  6. Step 6: Final answer
    x = 271.23

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