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Finding the Fourth Proportional to 386.44, 582.31 and 319.46

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Solution

The fourth proportional to 386.44, 582.31 and 319.46 is: 481.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.44 : 582.31 = 319.46 : x
  2. Step 2: Convert to fraction form
    386.44/582.31 = 319.46/x
  3. Step 3: Cross multiply
    386.44x = 582.31 × 319.46
  4. Step 4: Simplify right side
    386.44x = 186,025.41
  5. Step 5: Solve for x
    x = 186,025.41/386.44
  6. Step 6: Final answer
    x = 481.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.