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Finding the Fourth Proportional to 383.80, 574.84 and 191

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Solution

The fourth proportional to 383.80, 574.84 and 191 is: 286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.80 : 574.84 = 191 : x
  2. Step 2: Convert to fraction form
    383.80/574.84 = 191/x
  3. Step 3: Cross multiply
    383.80x = 574.84 × 191
  4. Step 4: Simplify right side
    383.80x = 109,794.44
  5. Step 5: Solve for x
    x = 109,794.44/383.80
  6. Step 6: Final answer
    x = 286.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.