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Finding the Fourth Proportional to 378.28, 522.54 and 296.42

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Solution

The fourth proportional to 378.28, 522.54 and 296.42 is: 409.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.28 : 522.54 = 296.42 : x
  2. Step 2: Convert to fraction form
    378.28/522.54 = 296.42/x
  3. Step 3: Cross multiply
    378.28x = 522.54 × 296.42
  4. Step 4: Simplify right side
    378.28x = 154,891.31
  5. Step 5: Solve for x
    x = 154,891.31/378.28
  6. Step 6: Final answer
    x = 409.46

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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.