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Finding the Fourth Proportional to 384.38, 576.24 and 189.44

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Solution

The fourth proportional to 384.38, 576.24 and 189.44 is: 284.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.38 : 576.24 = 189.44 : x
  2. Step 2: Convert to fraction form
    384.38/576.24 = 189.44/x
  3. Step 3: Cross multiply
    384.38x = 576.24 × 189.44
  4. Step 4: Simplify right side
    384.38x = 109,162.91
  5. Step 5: Solve for x
    x = 109,162.91/384.38
  6. Step 6: Final answer
    x = 284.00

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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.