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Finding the Fourth Proportional to 378.86, 522.77 and 238.92

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Solution

The fourth proportional to 378.86, 522.77 and 238.92 is: 329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.86 : 522.77 = 238.92 : x
  2. Step 2: Convert to fraction form
    378.86/522.77 = 238.92/x
  3. Step 3: Cross multiply
    378.86x = 522.77 × 238.92
  4. Step 4: Simplify right side
    378.86x = 124,900.54
  5. Step 5: Solve for x
    x = 124,900.54/378.86
  6. Step 6: Final answer
    x = 329.68

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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.