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Finding the Fourth Proportional to 359.14, 495.33 and 234.84

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Solution

The fourth proportional to 359.14, 495.33 and 234.84 is: 323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.14 : 495.33 = 234.84 : x
  2. Step 2: Convert to fraction form
    359.14/495.33 = 234.84/x
  3. Step 3: Cross multiply
    359.14x = 495.33 × 234.84
  4. Step 4: Simplify right side
    359.14x = 116,323.30
  5. Step 5: Solve for x
    x = 116,323.30/359.14
  6. Step 6: Final answer
    x = 323.89

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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.