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Finding the Fourth Proportional to 513.82, 771.18 and 270.52

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Solution

The fourth proportional to 513.82, 771.18 and 270.52 is: 406.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.82 : 771.18 = 270.52 : x
  2. Step 2: Convert to fraction form
    513.82/771.18 = 270.52/x
  3. Step 3: Cross multiply
    513.82x = 771.18 × 270.52
  4. Step 4: Simplify right side
    513.82x = 208,619.61
  5. Step 5: Solve for x
    x = 208,619.61/513.82
  6. Step 6: Final answer
    x = 406.02

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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.