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Finding the Fourth Proportional to 395.76, 593.10 and 212.88

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Solution

The fourth proportional to 395.76, 593.10 and 212.88 is: 319.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.76 : 593.10 = 212.88 : x
  2. Step 2: Convert to fraction form
    395.76/593.10 = 212.88/x
  3. Step 3: Cross multiply
    395.76x = 593.10 × 212.88
  4. Step 4: Simplify right side
    395.76x = 126,259.13
  5. Step 5: Solve for x
    x = 126,259.13/395.76
  6. Step 6: Final answer
    x = 319.03

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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.