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Finding the Fourth Proportional to 488.26, 732.41 and 180.20

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Solution

The fourth proportional to 488.26, 732.41 and 180.20 is: 270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.26 : 732.41 = 180.20 : x
  2. Step 2: Convert to fraction form
    488.26/732.41 = 180.20/x
  3. Step 3: Cross multiply
    488.26x = 732.41 × 180.20
  4. Step 4: Simplify right side
    488.26x = 131,981.89
  5. Step 5: Solve for x
    x = 131,981.89/488.26
  6. Step 6: Final answer
    x = 270.31

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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.