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Finding the Fourth Proportional to 517.25, 776.01 and 224.60

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Solution

The fourth proportional to 517.25, 776.01 and 224.60 is: 336.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.25 : 776.01 = 224.60 : x
  2. Step 2: Convert to fraction form
    517.25/776.01 = 224.60/x
  3. Step 3: Cross multiply
    517.25x = 776.01 × 224.60
  4. Step 4: Simplify right side
    517.25x = 174,287.97
  5. Step 5: Solve for x
    x = 174,287.97/517.25
  6. Step 6: Final answer
    x = 336.95

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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.