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Finding the Fourth Proportional to 378.60, 522.53 and 212.83

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Solution

The fourth proportional to 378.60, 522.53 and 212.83 is: 293.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.60 : 522.53 = 212.83 : x
  2. Step 2: Convert to fraction form
    378.60/522.53 = 212.83/x
  3. Step 3: Cross multiply
    378.60x = 522.53 × 212.83
  4. Step 4: Simplify right side
    378.60x = 111,207.69
  5. Step 5: Solve for x
    x = 111,207.69/378.60
  6. Step 6: Final answer
    x = 293.73

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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.