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Finding the Fourth Proportional to 358.78, 494.84 and 227.83

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Solution

The fourth proportional to 358.78, 494.84 and 227.83 is: 314.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.78 : 494.84 = 227.83 : x
  2. Step 2: Convert to fraction form
    358.78/494.84 = 227.83/x
  3. Step 3: Cross multiply
    358.78x = 494.84 × 227.83
  4. Step 4: Simplify right side
    358.78x = 112,736.92
  5. Step 5: Solve for x
    x = 112,736.92/358.78
  6. Step 6: Final answer
    x = 314.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.