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Finding the Fourth Proportional to 516.34, 774.65 and 227.85

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Solution

The fourth proportional to 516.34, 774.65 and 227.85 is: 341.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.34 : 774.65 = 227.85 : x
  2. Step 2: Convert to fraction form
    516.34/774.65 = 227.85/x
  3. Step 3: Cross multiply
    516.34x = 774.65 × 227.85
  4. Step 4: Simplify right side
    516.34x = 176,504.00
  5. Step 5: Solve for x
    x = 176,504.00/516.34
  6. Step 6: Final answer
    x = 341.84

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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.