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Finding the Fourth Proportional to 358.59, 494.82 and 227.64

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Solution

The fourth proportional to 358.59, 494.82 and 227.64 is: 314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.59 : 494.82 = 227.64 : x
  2. Step 2: Convert to fraction form
    358.59/494.82 = 227.64/x
  3. Step 3: Cross multiply
    358.59x = 494.82 × 227.64
  4. Step 4: Simplify right side
    358.59x = 112,640.82
  5. Step 5: Solve for x
    x = 112,640.82/358.59
  6. Step 6: Final answer
    x = 314.12

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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.