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Finding the Fourth Proportional to 516.26, 774.57 and 284.86

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Solution

The fourth proportional to 516.26, 774.57 and 284.86 is: 427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.26 : 774.57 = 284.86 : x
  2. Step 2: Convert to fraction form
    516.26/774.57 = 284.86/x
  3. Step 3: Cross multiply
    516.26x = 774.57 × 284.86
  4. Step 4: Simplify right side
    516.26x = 220,644.01
  5. Step 5: Solve for x
    x = 220,644.01/516.26
  6. Step 6: Final answer
    x = 427.39

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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.