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Finding the Fourth Proportional to 598, 896.56 and 227.75

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Solution

The fourth proportional to 598, 896.56 and 227.75 is: 341.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    598 : 896.56 = 227.75 : x
  2. Step 2: Convert to fraction form
    598/896.56 = 227.75/x
  3. Step 3: Cross multiply
    598x = 896.56 × 227.75
  4. Step 4: Simplify right side
    598x = 204,191.54
  5. Step 5: Solve for x
    x = 204,191.54/598
  6. Step 6: Final answer
    x = 341.46

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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.