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Finding the Fourth Proportional to 509.70, 764.74 and 217.26

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Solution

The fourth proportional to 509.70, 764.74 and 217.26 is: 325.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.70 : 764.74 = 217.26 : x
  2. Step 2: Convert to fraction form
    509.70/764.74 = 217.26/x
  3. Step 3: Cross multiply
    509.70x = 764.74 × 217.26
  4. Step 4: Simplify right side
    509.70x = 166,147.41
  5. Step 5: Solve for x
    x = 166,147.41/509.70
  6. Step 6: Final answer
    x = 325.97

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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.