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Finding the Fourth Proportional to 488.51, 733.04 and 180.57

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Solution

The fourth proportional to 488.51, 733.04 and 180.57 is: 270.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.51 : 733.04 = 180.57 : x
  2. Step 2: Convert to fraction form
    488.51/733.04 = 180.57/x
  3. Step 3: Cross multiply
    488.51x = 733.04 × 180.57
  4. Step 4: Simplify right side
    488.51x = 132,367.93
  5. Step 5: Solve for x
    x = 132,367.93/488.51
  6. Step 6: Final answer
    x = 270.96

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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.