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Finding the Fourth Proportional to 378.59, 522.42 and 212.83

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Solution

The fourth proportional to 378.59, 522.42 and 212.83 is: 293.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.59 : 522.42 = 212.83 : x
  2. Step 2: Convert to fraction form
    378.59/522.42 = 212.83/x
  3. Step 3: Cross multiply
    378.59x = 522.42 × 212.83
  4. Step 4: Simplify right side
    378.59x = 111,184.36
  5. Step 5: Solve for x
    x = 111,184.36/378.59
  6. Step 6: Final answer
    x = 293.68

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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.