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Finding the Fourth Proportional to 378.82, 522.77 and 213.06

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Solution

The fourth proportional to 378.82, 522.77 and 213.06 is: 294.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.82 : 522.77 = 213.06 : x
  2. Step 2: Convert to fraction form
    378.82/522.77 = 213.06/x
  3. Step 3: Cross multiply
    378.82x = 522.77 × 213.06
  4. Step 4: Simplify right side
    378.82x = 111,380.31
  5. Step 5: Solve for x
    x = 111,380.31/378.82
  6. Step 6: Final answer
    x = 294.02

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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.