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Finding the Fourth Proportional to 509.52, 764 and 220.62

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Solution

The fourth proportional to 509.52, 764 and 220.62 is: 330.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.52 : 764 = 220.62 : x
  2. Step 2: Convert to fraction form
    509.52/764 = 220.62/x
  3. Step 3: Cross multiply
    509.52x = 764 × 220.62
  4. Step 4: Simplify right side
    509.52x = 168,553.68
  5. Step 5: Solve for x
    x = 168,553.68/509.52
  6. Step 6: Final answer
    x = 330.81

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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.