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Finding the Fourth Proportional to 509.87, 764.42 and 180.74

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Solution

The fourth proportional to 509.87, 764.42 and 180.74 is: 270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.87 : 764.42 = 180.74 : x
  2. Step 2: Convert to fraction form
    509.87/764.42 = 180.74/x
  3. Step 3: Cross multiply
    509.87x = 764.42 × 180.74
  4. Step 4: Simplify right side
    509.87x = 138,157.45
  5. Step 5: Solve for x
    x = 138,157.45/509.87
  6. Step 6: Final answer
    x = 270.97

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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.