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Finding the Fourth Proportional to 377.83, 521.42 and 212.03

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Solution

The fourth proportional to 377.83, 521.42 and 212.03 is: 292.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.83 : 521.42 = 212.03 : x
  2. Step 2: Convert to fraction form
    377.83/521.42 = 212.03/x
  3. Step 3: Cross multiply
    377.83x = 521.42 × 212.03
  4. Step 4: Simplify right side
    377.83x = 110,556.68
  5. Step 5: Solve for x
    x = 110,556.68/377.83
  6. Step 6: Final answer
    x = 292.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.