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Finding the Fourth Proportional to 509.97, 764.40 and 217.41

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Solution

The fourth proportional to 509.97, 764.40 and 217.41 is: 325.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.97 : 764.40 = 217.41 : x
  2. Step 2: Convert to fraction form
    509.97/764.40 = 217.41/x
  3. Step 3: Cross multiply
    509.97x = 764.40 × 217.41
  4. Step 4: Simplify right side
    509.97x = 166,188.20
  5. Step 5: Solve for x
    x = 166,188.20/509.97
  6. Step 6: Final answer
    x = 325.88

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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.