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Finding the Fourth Proportional to 515.56, 772.86 and 227.08

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Solution

The fourth proportional to 515.56, 772.86 and 227.08 is: 340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.56 : 772.86 = 227.08 : x
  2. Step 2: Convert to fraction form
    515.56/772.86 = 227.08/x
  3. Step 3: Cross multiply
    515.56x = 772.86 × 227.08
  4. Step 4: Simplify right side
    515.56x = 175,501.05
  5. Step 5: Solve for x
    x = 175,501.05/515.56
  6. Step 6: Final answer
    x = 340.41

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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.