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Finding the Fourth Proportional to 378.50, 522.32 and 212.73

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Solution

The fourth proportional to 378.50, 522.32 and 212.73 is: 293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.50 : 522.32 = 212.73 : x
  2. Step 2: Convert to fraction form
    378.50/522.32 = 212.73/x
  3. Step 3: Cross multiply
    378.50x = 522.32 × 212.73
  4. Step 4: Simplify right side
    378.50x = 111,113.13
  5. Step 5: Solve for x
    x = 111,113.13/378.50
  6. Step 6: Final answer
    x = 293.56

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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.