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Finding the Fourth Proportional to 516.35, 774.41 and 208.13

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Solution

The fourth proportional to 516.35, 774.41 and 208.13 is: 312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.35 : 774.41 = 208.13 : x
  2. Step 2: Convert to fraction form
    516.35/774.41 = 208.13/x
  3. Step 3: Cross multiply
    516.35x = 774.41 × 208.13
  4. Step 4: Simplify right side
    516.35x = 161,173.04
  5. Step 5: Solve for x
    x = 161,173.04/516.35
  6. Step 6: Final answer
    x = 312.14

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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.