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Finding the Fourth Proportional to 516.71, 774.36 and 285.25

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Solution

The fourth proportional to 516.71, 774.36 and 285.25 is: 427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.71 : 774.36 = 285.25 : x
  2. Step 2: Convert to fraction form
    516.71/774.36 = 285.25/x
  3. Step 3: Cross multiply
    516.71x = 774.36 × 285.25
  4. Step 4: Simplify right side
    516.71x = 220,884.76
  5. Step 5: Solve for x
    x = 220,884.76/516.71
  6. Step 6: Final answer
    x = 427.49

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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.