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Finding the Fourth Proportional to 513.67, 771.07 and 205.74

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Solution

The fourth proportional to 513.67, 771.07 and 205.74 is: 308.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.67 : 771.07 = 205.74 : x
  2. Step 2: Convert to fraction form
    513.67/771.07 = 205.74/x
  3. Step 3: Cross multiply
    513.67x = 771.07 × 205.74
  4. Step 4: Simplify right side
    513.67x = 158,639.81
  5. Step 5: Solve for x
    x = 158,639.81/513.67
  6. Step 6: Final answer
    x = 308.84

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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.