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Finding the Fourth Proportional to 359.27, 494.92 and 248.56

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Solution

The fourth proportional to 359.27, 494.92 and 248.56 is: 342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.27 : 494.92 = 248.56 : x
  2. Step 2: Convert to fraction form
    359.27/494.92 = 248.56/x
  3. Step 3: Cross multiply
    359.27x = 494.92 × 248.56
  4. Step 4: Simplify right side
    359.27x = 123,016.39
  5. Step 5: Solve for x
    x = 123,016.39/359.27
  6. Step 6: Final answer
    x = 342.40

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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.