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Finding the Fourth Proportional to 378.49, 522.30 and 212.69

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Solution

The fourth proportional to 378.49, 522.30 and 212.69 is: 293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.49 : 522.30 = 212.69 : x
  2. Step 2: Convert to fraction form
    378.49/522.30 = 212.69/x
  3. Step 3: Cross multiply
    378.49x = 522.30 × 212.69
  4. Step 4: Simplify right side
    378.49x = 111,085.38
  5. Step 5: Solve for x
    x = 111,085.38/378.49
  6. Step 6: Final answer
    x = 293.50

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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.