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Finding the Fourth Proportional to 509.65, 764.59 and 144.43

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Solution

The fourth proportional to 509.65, 764.59 and 144.43 is: 216.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.65 : 764.59 = 144.43 : x
  2. Step 2: Convert to fraction form
    509.65/764.59 = 144.43/x
  3. Step 3: Cross multiply
    509.65x = 764.59 × 144.43
  4. Step 4: Simplify right side
    509.65x = 110,429.73
  5. Step 5: Solve for x
    x = 110,429.73/509.65
  6. Step 6: Final answer
    x = 216.68

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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.