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Finding the Fourth Proportional to 395.56, 594.42 and 326.44

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Solution

The fourth proportional to 395.56, 594.42 and 326.44 is: 490.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.56 : 594.42 = 326.44 : x
  2. Step 2: Convert to fraction form
    395.56/594.42 = 326.44/x
  3. Step 3: Cross multiply
    395.56x = 594.42 × 326.44
  4. Step 4: Simplify right side
    395.56x = 194,042.46
  5. Step 5: Solve for x
    x = 194,042.46/395.56
  6. Step 6: Final answer
    x = 490.55

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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.