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Finding the Fourth Proportional to 359.12, 495.36 and 234.78

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Solution

The fourth proportional to 359.12, 495.36 and 234.78 is: 323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.12 : 495.36 = 234.78 : x
  2. Step 2: Convert to fraction form
    359.12/495.36 = 234.78/x
  3. Step 3: Cross multiply
    359.12x = 495.36 × 234.78
  4. Step 4: Simplify right side
    359.12x = 116,300.62
  5. Step 5: Solve for x
    x = 116,300.62/359.12
  6. Step 6: Final answer
    x = 323.85

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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.