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Finding the Fourth Proportional to 509.25, 764.33 and 262.63

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Solution

The fourth proportional to 509.25, 764.33 and 262.63 is: 394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.25 : 764.33 = 262.63 : x
  2. Step 2: Convert to fraction form
    509.25/764.33 = 262.63/x
  3. Step 3: Cross multiply
    509.25x = 764.33 × 262.63
  4. Step 4: Simplify right side
    509.25x = 200,735.99
  5. Step 5: Solve for x
    x = 200,735.99/509.25
  6. Step 6: Final answer
    x = 394.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.