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Finding the Fourth Proportional to 515.18, 772.91 and 226.82

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Solution

The fourth proportional to 515.18, 772.91 and 226.82 is: 340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.18 : 772.91 = 226.82 : x
  2. Step 2: Convert to fraction form
    515.18/772.91 = 226.82/x
  3. Step 3: Cross multiply
    515.18x = 772.91 × 226.82
  4. Step 4: Simplify right side
    515.18x = 175,313.09
  5. Step 5: Solve for x
    x = 175,313.09/515.18
  6. Step 6: Final answer
    x = 340.29

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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.