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Finding the Fourth Proportional to 514.87, 772.58 and 226.33

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Solution

The fourth proportional to 514.87, 772.58 and 226.33 is: 339.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.87 : 772.58 = 226.33 : x
  2. Step 2: Convert to fraction form
    514.87/772.58 = 226.33/x
  3. Step 3: Cross multiply
    514.87x = 772.58 × 226.33
  4. Step 4: Simplify right side
    514.87x = 174,858.03
  5. Step 5: Solve for x
    x = 174,858.03/514.87
  6. Step 6: Final answer
    x = 339.62

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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.