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Finding the Fourth Proportional to 516.08, 774.42 and 207.96

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Solution

The fourth proportional to 516.08, 774.42 and 207.96 is: 312.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.08 : 774.42 = 207.96 : x
  2. Step 2: Convert to fraction form
    516.08/774.42 = 207.96/x
  3. Step 3: Cross multiply
    516.08x = 774.42 × 207.96
  4. Step 4: Simplify right side
    516.08x = 161,048.38
  5. Step 5: Solve for x
    x = 161,048.38/516.08
  6. Step 6: Final answer
    x = 312.06

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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.