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Finding the Fourth Proportional to 378.50, 522.33 and 212.71

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Solution

The fourth proportional to 378.50, 522.33 and 212.71 is: 293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.50 : 522.33 = 212.71 : x
  2. Step 2: Convert to fraction form
    378.50/522.33 = 212.71/x
  3. Step 3: Cross multiply
    378.50x = 522.33 × 212.71
  4. Step 4: Simplify right side
    378.50x = 111,104.81
  5. Step 5: Solve for x
    x = 111,104.81/378.50
  6. Step 6: Final answer
    x = 293.54

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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.