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Finding the Fourth Proportional to 378.64, 522.43 and 254.53

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Solution

The fourth proportional to 378.64, 522.43 and 254.53 is: 351.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.64 : 522.43 = 254.53 : x
  2. Step 2: Convert to fraction form
    378.64/522.43 = 254.53/x
  3. Step 3: Cross multiply
    378.64x = 522.43 × 254.53
  4. Step 4: Simplify right side
    378.64x = 132,974.11
  5. Step 5: Solve for x
    x = 132,974.11/378.64
  6. Step 6: Final answer
    x = 351.19

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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.