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Finding the Fourth Proportional to 516.84, 775.44 and 208.59

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Solution

The fourth proportional to 516.84, 775.44 and 208.59 is: 312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.84 : 775.44 = 208.59 : x
  2. Step 2: Convert to fraction form
    516.84/775.44 = 208.59/x
  3. Step 3: Cross multiply
    516.84x = 775.44 × 208.59
  4. Step 4: Simplify right side
    516.84x = 161,749.03
  5. Step 5: Solve for x
    x = 161,749.03/516.84
  6. Step 6: Final answer
    x = 312.96

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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.