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Finding the Fourth Proportional to 358.39, 494.96 and 227.47

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Solution

The fourth proportional to 358.39, 494.96 and 227.47 is: 314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.39 : 494.96 = 227.47 : x
  2. Step 2: Convert to fraction form
    358.39/494.96 = 227.47/x
  3. Step 3: Cross multiply
    358.39x = 494.96 × 227.47
  4. Step 4: Simplify right side
    358.39x = 112,588.55
  5. Step 5: Solve for x
    x = 112,588.55/358.39
  6. Step 6: Final answer
    x = 314.16

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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.