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Finding the Fourth Proportional to 394.26, 590.70 and 263.97

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Solution

The fourth proportional to 394.26, 590.70 and 263.97 is: 395.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.26 : 590.70 = 263.97 : x
  2. Step 2: Convert to fraction form
    394.26/590.70 = 263.97/x
  3. Step 3: Cross multiply
    394.26x = 590.70 × 263.97
  4. Step 4: Simplify right side
    394.26x = 155,927.08
  5. Step 5: Solve for x
    x = 155,927.08/394.26
  6. Step 6: Final answer
    x = 395.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.