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Finding the Fourth Proportional to 378.98, 523.01 and 213.22

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Solution

The fourth proportional to 378.98, 523.01 and 213.22 is: 294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.98 : 523.01 = 213.22 : x
  2. Step 2: Convert to fraction form
    378.98/523.01 = 213.22/x
  3. Step 3: Cross multiply
    378.98x = 523.01 × 213.22
  4. Step 4: Simplify right side
    378.98x = 111,516.43
  5. Step 5: Solve for x
    x = 111,516.43/378.98
  6. Step 6: Final answer
    x = 294.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.