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Finding the Fourth Proportional to 852.44, 1,278.51 and 227.74

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Solution

The fourth proportional to 852.44, 1,278.51 and 227.74 is: 341.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.44 : 1,278.51 = 227.74 : x
  2. Step 2: Convert to fraction form
    852.44/1,278.51 = 227.74/x
  3. Step 3: Cross multiply
    852.44x = 1,278.51 × 227.74
  4. Step 4: Simplify right side
    852.44x = 291,167.87
  5. Step 5: Solve for x
    x = 291,167.87/852.44
  6. Step 6: Final answer
    x = 341.57

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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.