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Finding the Fourth Proportional to 516.78, 774.36 and 296.87

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Solution

The fourth proportional to 516.78, 774.36 and 296.87 is: 444.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.78 : 774.36 = 296.87 : x
  2. Step 2: Convert to fraction form
    516.78/774.36 = 296.87/x
  3. Step 3: Cross multiply
    516.78x = 774.36 × 296.87
  4. Step 4: Simplify right side
    516.78x = 229,880.38
  5. Step 5: Solve for x
    x = 229,880.38/516.78
  6. Step 6: Final answer
    x = 444.83

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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.