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Finding the Fourth Proportional to 377.82, 521.38 and 212

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Solution

The fourth proportional to 377.82, 521.38 and 212 is: 292.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.82 : 521.38 = 212 : x
  2. Step 2: Convert to fraction form
    377.82/521.38 = 212/x
  3. Step 3: Cross multiply
    377.82x = 521.38 × 212
  4. Step 4: Simplify right side
    377.82x = 110,532.56
  5. Step 5: Solve for x
    x = 110,532.56/377.82
  6. Step 6: Final answer
    x = 292.55

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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.