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Finding the Fourth Proportional to 377.44, 520.91 and 211.70

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Solution

The fourth proportional to 377.44, 520.91 and 211.70 is: 292.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.44 : 520.91 = 211.70 : x
  2. Step 2: Convert to fraction form
    377.44/520.91 = 211.70/x
  3. Step 3: Cross multiply
    377.44x = 520.91 × 211.70
  4. Step 4: Simplify right side
    377.44x = 110,274.57
  5. Step 5: Solve for x
    x = 110,274.57/377.44
  6. Step 6: Final answer
    x = 292.17

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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.