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Finding the Fourth Proportional to 395.76, 593.28 and 212.94

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Solution

The fourth proportional to 395.76, 593.28 and 212.94 is: 319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.76 : 593.28 = 212.94 : x
  2. Step 2: Convert to fraction form
    395.76/593.28 = 212.94/x
  3. Step 3: Cross multiply
    395.76x = 593.28 × 212.94
  4. Step 4: Simplify right side
    395.76x = 126,333.04
  5. Step 5: Solve for x
    x = 126,333.04/395.76
  6. Step 6: Final answer
    x = 319.22

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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.