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Finding the Fourth Proportional to 509.31, 763.96 and 144.09

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Solution

The fourth proportional to 509.31, 763.96 and 144.09 is: 216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.31 : 763.96 = 144.09 : x
  2. Step 2: Convert to fraction form
    509.31/763.96 = 144.09/x
  3. Step 3: Cross multiply
    509.31x = 763.96 × 144.09
  4. Step 4: Simplify right side
    509.31x = 110,078.28
  5. Step 5: Solve for x
    x = 110,078.28/509.31
  6. Step 6: Final answer
    x = 216.13

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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.