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Finding the Fourth Proportional to 513.66, 768.12 and 382.14

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Solution

The fourth proportional to 513.66, 768.12 and 382.14 is: 571.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.66 : 768.12 = 382.14 : x
  2. Step 2: Convert to fraction form
    513.66/768.12 = 382.14/x
  3. Step 3: Cross multiply
    513.66x = 768.12 × 382.14
  4. Step 4: Simplify right side
    513.66x = 293,529.38
  5. Step 5: Solve for x
    x = 293,529.38/513.66
  6. Step 6: Final answer
    x = 571.45

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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.