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Finding the Fourth Proportional to 377.38, 520.82 and 211.66

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Solution

The fourth proportional to 377.38, 520.82 and 211.66 is: 292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.38 : 520.82 = 211.66 : x
  2. Step 2: Convert to fraction form
    377.38/520.82 = 211.66/x
  3. Step 3: Cross multiply
    377.38x = 520.82 × 211.66
  4. Step 4: Simplify right side
    377.38x = 110,236.76
  5. Step 5: Solve for x
    x = 110,236.76/377.38
  6. Step 6: Final answer
    x = 292.11

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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.