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Finding the Fourth Proportional to 358.43, 494.78 and 227.34

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Solution

The fourth proportional to 358.43, 494.78 and 227.34 is: 313.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.43 : 494.78 = 227.34 : x
  2. Step 2: Convert to fraction form
    358.43/494.78 = 227.34/x
  3. Step 3: Cross multiply
    358.43x = 494.78 × 227.34
  4. Step 4: Simplify right side
    358.43x = 112,482.15
  5. Step 5: Solve for x
    x = 112,482.15/358.43
  6. Step 6: Final answer
    x = 313.82

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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.