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Finding the Fourth Proportional to 382.40, 573.60 and 199.84

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Solution

The fourth proportional to 382.40, 573.60 and 199.84 is: 299.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.40 : 573.60 = 199.84 : x
  2. Step 2: Convert to fraction form
    382.40/573.60 = 199.84/x
  3. Step 3: Cross multiply
    382.40x = 573.60 × 199.84
  4. Step 4: Simplify right side
    382.40x = 114,628.22
  5. Step 5: Solve for x
    x = 114,628.22/382.40
  6. Step 6: Final answer
    x = 299.76

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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.