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Finding the Fourth Proportional to 377.82, 521.39 and 212.02

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Solution

The fourth proportional to 377.82, 521.39 and 212.02 is: 292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.82 : 521.39 = 212.02 : x
  2. Step 2: Convert to fraction form
    377.82/521.39 = 212.02/x
  3. Step 3: Cross multiply
    377.82x = 521.39 × 212.02
  4. Step 4: Simplify right side
    377.82x = 110,544.33
  5. Step 5: Solve for x
    x = 110,544.33/377.82
  6. Step 6: Final answer
    x = 292.58

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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.