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Finding the Fourth Proportional to 513.33, 768.36 and 416.13

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Solution

The fourth proportional to 513.33, 768.36 and 416.13 is: 622.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.33 : 768.36 = 416.13 : x
  2. Step 2: Convert to fraction form
    513.33/768.36 = 416.13/x
  3. Step 3: Cross multiply
    513.33x = 768.36 × 416.13
  4. Step 4: Simplify right side
    513.33x = 319,737.65
  5. Step 5: Solve for x
    x = 319,737.65/513.33
  6. Step 6: Final answer
    x = 622.87

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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.