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Finding the Fourth Proportional to 358.71, 494.75 and 227.76

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Solution

The fourth proportional to 358.71, 494.75 and 227.76 is: 314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.71 : 494.75 = 227.76 : x
  2. Step 2: Convert to fraction form
    358.71/494.75 = 227.76/x
  3. Step 3: Cross multiply
    358.71x = 494.75 × 227.76
  4. Step 4: Simplify right side
    358.71x = 112,684.26
  5. Step 5: Solve for x
    x = 112,684.26/358.71
  6. Step 6: Final answer
    x = 314.14

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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.