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Finding the Fourth Proportional to 509.29, 764.09 and 216.64

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Solution

The fourth proportional to 509.29, 764.09 and 216.64 is: 325.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.29 : 764.09 = 216.64 : x
  2. Step 2: Convert to fraction form
    509.29/764.09 = 216.64/x
  3. Step 3: Cross multiply
    509.29x = 764.09 × 216.64
  4. Step 4: Simplify right side
    509.29x = 165,532.46
  5. Step 5: Solve for x
    x = 165,532.46/509.29
  6. Step 6: Final answer
    x = 325.03

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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.