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Finding the Fourth Proportional to 516.21, 774.54 and 208.66

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Solution

The fourth proportional to 516.21, 774.54 and 208.66 is: 313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.21 : 774.54 = 208.66 : x
  2. Step 2: Convert to fraction form
    516.21/774.54 = 208.66/x
  3. Step 3: Cross multiply
    516.21x = 774.54 × 208.66
  4. Step 4: Simplify right side
    516.21x = 161,618.33
  5. Step 5: Solve for x
    x = 161,618.33/516.21
  6. Step 6: Final answer
    x = 313.09

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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.