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Finding the Fourth Proportional to 513.24, 768.30 and 330.80

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Solution

The fourth proportional to 513.24, 768.30 and 330.80 is: 495.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.24 : 768.30 = 330.80 : x
  2. Step 2: Convert to fraction form
    513.24/768.30 = 330.80/x
  3. Step 3: Cross multiply
    513.24x = 768.30 × 330.80
  4. Step 4: Simplify right side
    513.24x = 254,153.64
  5. Step 5: Solve for x
    x = 254,153.64/513.24
  6. Step 6: Final answer
    x = 495.19

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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.