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Finding the Fourth Proportional to 509.08, 763.52 and 216.48

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Solution

The fourth proportional to 509.08, 763.52 and 216.48 is: 324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.08 : 763.52 = 216.48 : x
  2. Step 2: Convert to fraction form
    509.08/763.52 = 216.48/x
  3. Step 3: Cross multiply
    509.08x = 763.52 × 216.48
  4. Step 4: Simplify right side
    509.08x = 165,286.81
  5. Step 5: Solve for x
    x = 165,286.81/509.08
  6. Step 6: Final answer
    x = 324.68

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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.