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Finding the Fourth Proportional to 512.44, 768.37 and 304.29

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Solution

The fourth proportional to 512.44, 768.37 and 304.29 is: 456.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.44 : 768.37 = 304.29 : x
  2. Step 2: Convert to fraction form
    512.44/768.37 = 304.29/x
  3. Step 3: Cross multiply
    512.44x = 768.37 × 304.29
  4. Step 4: Simplify right side
    512.44x = 233,807.31
  5. Step 5: Solve for x
    x = 233,807.31/512.44
  6. Step 6: Final answer
    x = 456.26

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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.