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Finding the Fourth Proportional to 358.37, 494.43 and 234.20

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Solution

The fourth proportional to 358.37, 494.43 and 234.20 is: 323.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.37 : 494.43 = 234.20 : x
  2. Step 2: Convert to fraction form
    358.37/494.43 = 234.20/x
  3. Step 3: Cross multiply
    358.37x = 494.43 × 234.20
  4. Step 4: Simplify right side
    358.37x = 115,793.03
  5. Step 5: Solve for x
    x = 115,793.03/358.37
  6. Step 6: Final answer
    x = 323.11

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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.