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Finding the Fourth Proportional to 378.92, 522.92 and 213.15

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Solution

The fourth proportional to 378.92, 522.92 and 213.15 is: 294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.92 : 522.92 = 213.15 : x
  2. Step 2: Convert to fraction form
    378.92/522.92 = 213.15/x
  3. Step 3: Cross multiply
    378.92x = 522.92 × 213.15
  4. Step 4: Simplify right side
    378.92x = 111,460.40
  5. Step 5: Solve for x
    x = 111,460.40/378.92
  6. Step 6: Final answer
    x = 294.15

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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.