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Finding the Fourth Proportional to 377.89, 521.50 and 212.10

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Solution

The fourth proportional to 377.89, 521.50 and 212.10 is: 292.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.89 : 521.50 = 212.10 : x
  2. Step 2: Convert to fraction form
    377.89/521.50 = 212.10/x
  3. Step 3: Cross multiply
    377.89x = 521.50 × 212.10
  4. Step 4: Simplify right side
    377.89x = 110,609.62
  5. Step 5: Solve for x
    x = 110,609.62/377.89
  6. Step 6: Final answer
    x = 292.71

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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.