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Finding the Fourth Proportional to 378.50, 522.24 and 212.70

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Solution

The fourth proportional to 378.50, 522.24 and 212.70 is: 293.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.50 : 522.24 = 212.70 : x
  2. Step 2: Convert to fraction form
    378.50/522.24 = 212.70/x
  3. Step 3: Cross multiply
    378.50x = 522.24 × 212.70
  4. Step 4: Simplify right side
    378.50x = 111,080.45
  5. Step 5: Solve for x
    x = 111,080.45/378.50
  6. Step 6: Final answer
    x = 293.48

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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.