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Finding the Fourth Proportional to 516.24, 774.06 and 207.84

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Solution

The fourth proportional to 516.24, 774.06 and 207.84 is: 311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.24 : 774.06 = 207.84 : x
  2. Step 2: Convert to fraction form
    516.24/774.06 = 207.84/x
  3. Step 3: Cross multiply
    516.24x = 774.06 × 207.84
  4. Step 4: Simplify right side
    516.24x = 160,880.63
  5. Step 5: Solve for x
    x = 160,880.63/516.24
  6. Step 6: Final answer
    x = 311.64

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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.