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Finding the Fourth Proportional to 509.29, 764.15 and 249.15

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Solution

The fourth proportional to 509.29, 764.15 and 249.15 is: 373.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.29 : 764.15 = 249.15 : x
  2. Step 2: Convert to fraction form
    509.29/764.15 = 249.15/x
  3. Step 3: Cross multiply
    509.29x = 764.15 × 249.15
  4. Step 4: Simplify right side
    509.29x = 190,387.97
  5. Step 5: Solve for x
    x = 190,387.97/509.29
  6. Step 6: Final answer
    x = 373.83

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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.