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Finding the Fourth Proportional to 384, 576 and 95.44

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Solution

The fourth proportional to 384, 576 and 95.44 is: 143.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    384 : 576 = 95.44 : x
  2. Step 2: Convert to fraction form
    384/576 = 95.44/x
  3. Step 3: Cross multiply
    384x = 576 × 95.44
  4. Step 4: Simplify right side
    384x = 54,973.44
  5. Step 5: Solve for x
    x = 54,973.44/384
  6. Step 6: Final answer
    x = 143.16

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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.