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Finding the Fourth Proportional to 378.56, 522.32 and 212.74

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Solution

The fourth proportional to 378.56, 522.32 and 212.74 is: 293.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.56 : 522.32 = 212.74 : x
  2. Step 2: Convert to fraction form
    378.56/522.32 = 212.74/x
  3. Step 3: Cross multiply
    378.56x = 522.32 × 212.74
  4. Step 4: Simplify right side
    378.56x = 111,118.36
  5. Step 5: Solve for x
    x = 111,118.36/378.56
  6. Step 6: Final answer
    x = 293.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.