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Finding the Fourth Proportional to 395.86, 593.91 and 213.38

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Solution

The fourth proportional to 395.86, 593.91 and 213.38 is: 320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.86 : 593.91 = 213.38 : x
  2. Step 2: Convert to fraction form
    395.86/593.91 = 213.38/x
  3. Step 3: Cross multiply
    395.86x = 593.91 × 213.38
  4. Step 4: Simplify right side
    395.86x = 126,730.51
  5. Step 5: Solve for x
    x = 126,730.51/395.86
  6. Step 6: Final answer
    x = 320.14

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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.