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Finding the Fourth Proportional to 378.59, 522.46 and 212.80

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Solution

The fourth proportional to 378.59, 522.46 and 212.80 is: 293.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.59 : 522.46 = 212.80 : x
  2. Step 2: Convert to fraction form
    378.59/522.46 = 212.80/x
  3. Step 3: Cross multiply
    378.59x = 522.46 × 212.80
  4. Step 4: Simplify right side
    378.59x = 111,179.49
  5. Step 5: Solve for x
    x = 111,179.49/378.59
  6. Step 6: Final answer
    x = 293.67

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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.