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Finding the Fourth Proportional to 509.14, 764.17 and 378.83

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Solution

The fourth proportional to 509.14, 764.17 and 378.83 is: 568.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.14 : 764.17 = 378.83 : x
  2. Step 2: Convert to fraction form
    509.14/764.17 = 378.83/x
  3. Step 3: Cross multiply
    509.14x = 764.17 × 378.83
  4. Step 4: Simplify right side
    509.14x = 289,491.48
  5. Step 5: Solve for x
    x = 289,491.48/509.14
  6. Step 6: Final answer
    x = 568.59

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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.