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Finding the Fourth Proportional to 509.56, 764.14 and 180.40

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Solution

The fourth proportional to 509.56, 764.14 and 180.40 is: 270.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.56 : 764.14 = 180.40 : x
  2. Step 2: Convert to fraction form
    509.56/764.14 = 180.40/x
  3. Step 3: Cross multiply
    509.56x = 764.14 × 180.40
  4. Step 4: Simplify right side
    509.56x = 137,850.86
  5. Step 5: Solve for x
    x = 137,850.86/509.56
  6. Step 6: Final answer
    x = 270.53

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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.