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Finding the Fourth Proportional to 509.48, 764.19 and 180.31

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Solution

The fourth proportional to 509.48, 764.19 and 180.31 is: 270.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.48 : 764.19 = 180.31 : x
  2. Step 2: Convert to fraction form
    509.48/764.19 = 180.31/x
  3. Step 3: Cross multiply
    509.48x = 764.19 × 180.31
  4. Step 4: Simplify right side
    509.48x = 137,791.38
  5. Step 5: Solve for x
    x = 137,791.38/509.48
  6. Step 6: Final answer
    x = 270.46

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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.