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Finding the Fourth Proportional to 378.86, 522.69 and 238.99

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Solution

The fourth proportional to 378.86, 522.69 and 238.99 is: 329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.86 : 522.69 = 238.99 : x
  2. Step 2: Convert to fraction form
    378.86/522.69 = 238.99/x
  3. Step 3: Cross multiply
    378.86x = 522.69 × 238.99
  4. Step 4: Simplify right side
    378.86x = 124,917.68
  5. Step 5: Solve for x
    x = 124,917.68/378.86
  6. Step 6: Final answer
    x = 329.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.