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Finding the Fourth Proportional to 518.12, 777.52 and 382.12

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Solution

The fourth proportional to 518.12, 777.52 and 382.12 is: 573.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.12 : 777.52 = 382.12 : x
  2. Step 2: Convert to fraction form
    518.12/777.52 = 382.12/x
  3. Step 3: Cross multiply
    518.12x = 777.52 × 382.12
  4. Step 4: Simplify right side
    518.12x = 297,105.55
  5. Step 5: Solve for x
    x = 297,105.55/518.12
  6. Step 6: Final answer
    x = 573.43

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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.