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Finding the Fourth Proportional to 378.66, 522.55 and 212.88

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Solution

The fourth proportional to 378.66, 522.55 and 212.88 is: 293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.66 : 522.55 = 212.88 : x
  2. Step 2: Convert to fraction form
    378.66/522.55 = 212.88/x
  3. Step 3: Cross multiply
    378.66x = 522.55 × 212.88
  4. Step 4: Simplify right side
    378.66x = 111,240.44
  5. Step 5: Solve for x
    x = 111,240.44/378.66
  6. Step 6: Final answer
    x = 293.77

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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.