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Finding the Fourth Proportional to 378.44, 522.25 and 212.65

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Solution

The fourth proportional to 378.44, 522.25 and 212.65 is: 293.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.44 : 522.25 = 212.65 : x
  2. Step 2: Convert to fraction form
    378.44/522.25 = 212.65/x
  3. Step 3: Cross multiply
    378.44x = 522.25 × 212.65
  4. Step 4: Simplify right side
    378.44x = 111,054.63
  5. Step 5: Solve for x
    x = 111,054.63/378.44
  6. Step 6: Final answer
    x = 293.45

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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.