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Finding the Fourth Proportional to 395.44, 593.49 and 334.12

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Solution

The fourth proportional to 395.44, 593.49 and 334.12 is: 501.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.44 : 593.49 = 334.12 : x
  2. Step 2: Convert to fraction form
    395.44/593.49 = 334.12/x
  3. Step 3: Cross multiply
    395.44x = 593.49 × 334.12
  4. Step 4: Simplify right side
    395.44x = 198,296.88
  5. Step 5: Solve for x
    x = 198,296.88/395.44
  6. Step 6: Final answer
    x = 501.46

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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.