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Finding the Fourth Proportional to 359.46, 495.79 and 248.90

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Solution

The fourth proportional to 359.46, 495.79 and 248.90 is: 343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.46 : 495.79 = 248.90 : x
  2. Step 2: Convert to fraction form
    359.46/495.79 = 248.90/x
  3. Step 3: Cross multiply
    359.46x = 495.79 × 248.90
  4. Step 4: Simplify right side
    359.46x = 123,399.03
  5. Step 5: Solve for x
    x = 123,399.03/359.46
  6. Step 6: Final answer
    x = 343.29

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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.