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Finding the Fourth Proportional to 384.05, 576.12 and 189.04

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Solution

The fourth proportional to 384.05, 576.12 and 189.04 is: 283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.05 : 576.12 = 189.04 : x
  2. Step 2: Convert to fraction form
    384.05/576.12 = 189.04/x
  3. Step 3: Cross multiply
    384.05x = 576.12 × 189.04
  4. Step 4: Simplify right side
    384.05x = 108,910.07
  5. Step 5: Solve for x
    x = 108,910.07/384.05
  6. Step 6: Final answer
    x = 283.59

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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.