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Finding the Fourth Proportional to 374.45, 516.74 and 206.41

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Solution

The fourth proportional to 374.45, 516.74 and 206.41 is: 284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.45 : 516.74 = 206.41 : x
  2. Step 2: Convert to fraction form
    374.45/516.74 = 206.41/x
  3. Step 3: Cross multiply
    374.45x = 516.74 × 206.41
  4. Step 4: Simplify right side
    374.45x = 106,660.30
  5. Step 5: Solve for x
    x = 106,660.30/374.45
  6. Step 6: Final answer
    x = 284.85

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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.