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Finding the Fourth Proportional to 358.78, 494.82 and 227.74

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Solution

The fourth proportional to 358.78, 494.82 and 227.74 is: 314.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.78 : 494.82 = 227.74 : x
  2. Step 2: Convert to fraction form
    358.78/494.82 = 227.74/x
  3. Step 3: Cross multiply
    358.78x = 494.82 × 227.74
  4. Step 4: Simplify right side
    358.78x = 112,690.31
  5. Step 5: Solve for x
    x = 112,690.31/358.78
  6. Step 6: Final answer
    x = 314.09

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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.