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Finding the Fourth Proportional to 509.19, 763.22 and 216.64

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Solution

The fourth proportional to 509.19, 763.22 and 216.64 is: 324.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.19 : 763.22 = 216.64 : x
  2. Step 2: Convert to fraction form
    509.19/763.22 = 216.64/x
  3. Step 3: Cross multiply
    509.19x = 763.22 × 216.64
  4. Step 4: Simplify right side
    509.19x = 165,345.48
  5. Step 5: Solve for x
    x = 165,345.48/509.19
  6. Step 6: Final answer
    x = 324.72

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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.