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Finding the Fourth Proportional to 377.54, 521.03 and 211.78

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Solution

The fourth proportional to 377.54, 521.03 and 211.78 is: 292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.54 : 521.03 = 211.78 : x
  2. Step 2: Convert to fraction form
    377.54/521.03 = 211.78/x
  3. Step 3: Cross multiply
    377.54x = 521.03 × 211.78
  4. Step 4: Simplify right side
    377.54x = 110,343.73
  5. Step 5: Solve for x
    x = 110,343.73/377.54
  6. Step 6: Final answer
    x = 292.27

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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.