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Finding the Fourth Proportional to 509.75, 764.76 and 221.12

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Solution

The fourth proportional to 509.75, 764.76 and 221.12 is: 331.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.75 : 764.76 = 221.12 : x
  2. Step 2: Convert to fraction form
    509.75/764.76 = 221.12/x
  3. Step 3: Cross multiply
    509.75x = 764.76 × 221.12
  4. Step 4: Simplify right side
    509.75x = 169,103.73
  5. Step 5: Solve for x
    x = 169,103.73/509.75
  6. Step 6: Final answer
    x = 331.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.