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Finding the Fourth Proportional to 382.44, 573.30 and 189.84

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Solution

The fourth proportional to 382.44, 573.30 and 189.84 is: 284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.44 : 573.30 = 189.84 : x
  2. Step 2: Convert to fraction form
    382.44/573.30 = 189.84/x
  3. Step 3: Cross multiply
    382.44x = 573.30 × 189.84
  4. Step 4: Simplify right side
    382.44x = 108,835.27
  5. Step 5: Solve for x
    x = 108,835.27/382.44
  6. Step 6: Final answer
    x = 284.58

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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.