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Finding the Fourth Proportional to 358.85, 495.09 and 234.65

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Solution

The fourth proportional to 358.85, 495.09 and 234.65 is: 323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.85 : 495.09 = 234.65 : x
  2. Step 2: Convert to fraction form
    358.85/495.09 = 234.65/x
  3. Step 3: Cross multiply
    358.85x = 495.09 × 234.65
  4. Step 4: Simplify right side
    358.85x = 116,170.39
  5. Step 5: Solve for x
    x = 116,170.39/358.85
  6. Step 6: Final answer
    x = 323.73

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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.