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Finding the Fourth Proportional to 378.36, 521.82 and 290.88

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Solution

The fourth proportional to 378.36, 521.82 and 290.88 is: 401.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.36 : 521.82 = 290.88 : x
  2. Step 2: Convert to fraction form
    378.36/521.82 = 290.88/x
  3. Step 3: Cross multiply
    378.36x = 521.82 × 290.88
  4. Step 4: Simplify right side
    378.36x = 151,787.00
  5. Step 5: Solve for x
    x = 151,787.00/378.36
  6. Step 6: Final answer
    x = 401.17

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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.