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Finding the Fourth Proportional to 516, 774.16 and 272.48

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Solution

The fourth proportional to 516, 774.16 and 272.48 is: 408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    516 : 774.16 = 272.48 : x
  2. Step 2: Convert to fraction form
    516/774.16 = 272.48/x
  3. Step 3: Cross multiply
    516x = 774.16 × 272.48
  4. Step 4: Simplify right side
    516x = 210,943.12
  5. Step 5: Solve for x
    x = 210,943.12/516
  6. Step 6: Final answer
    x = 408.80

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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.