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Finding the Fourth Proportional to 509.87, 764.74 and 144.70

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Solution

The fourth proportional to 509.87, 764.74 and 144.70 is: 217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.87 : 764.74 = 144.70 : x
  2. Step 2: Convert to fraction form
    509.87/764.74 = 144.70/x
  3. Step 3: Cross multiply
    509.87x = 764.74 × 144.70
  4. Step 4: Simplify right side
    509.87x = 110,657.88
  5. Step 5: Solve for x
    x = 110,657.88/509.87
  6. Step 6: Final answer
    x = 217.03

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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.