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Finding the Fourth Proportional to 384.26, 576.20 and 189.28

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Solution

The fourth proportional to 384.26, 576.20 and 189.28 is: 283.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.26 : 576.20 = 189.28 : x
  2. Step 2: Convert to fraction form
    384.26/576.20 = 189.28/x
  3. Step 3: Cross multiply
    384.26x = 576.20 × 189.28
  4. Step 4: Simplify right side
    384.26x = 109,060.75
  5. Step 5: Solve for x
    x = 109,060.75/384.26
  6. Step 6: Final answer
    x = 283.82

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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.