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Finding the Fourth Proportional to 378.25, 521.84 and 238.31

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Solution

The fourth proportional to 378.25, 521.84 and 238.31 is: 328.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.25 : 521.84 = 238.31 : x
  2. Step 2: Convert to fraction form
    378.25/521.84 = 238.31/x
  3. Step 3: Cross multiply
    378.25x = 521.84 × 238.31
  4. Step 4: Simplify right side
    378.25x = 124,359.69
  5. Step 5: Solve for x
    x = 124,359.69/378.25
  6. Step 6: Final answer
    x = 328.78

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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.