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Finding the Fourth Proportional to 488.52, 732.84 and 180.53

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Solution

The fourth proportional to 488.52, 732.84 and 180.53 is: 270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.52 : 732.84 = 180.53 : x
  2. Step 2: Convert to fraction form
    488.52/732.84 = 180.53/x
  3. Step 3: Cross multiply
    488.52x = 732.84 × 180.53
  4. Step 4: Simplify right side
    488.52x = 132,295.94
  5. Step 5: Solve for x
    x = 132,295.94/488.52
  6. Step 6: Final answer
    x = 270.81

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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.