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Finding the Fourth Proportional to 509.74, 764.68 and 144.56

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Solution

The fourth proportional to 509.74, 764.68 and 144.56 is: 216.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.74 : 764.68 = 144.56 : x
  2. Step 2: Convert to fraction form
    509.74/764.68 = 144.56/x
  3. Step 3: Cross multiply
    509.74x = 764.68 × 144.56
  4. Step 4: Simplify right side
    509.74x = 110,542.14
  5. Step 5: Solve for x
    x = 110,542.14/509.74
  6. Step 6: Final answer
    x = 216.86

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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.