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Finding the Fourth Proportional to 386.30, 531.96 and 327.38

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Solution

The fourth proportional to 386.30, 531.96 and 327.38 is: 450.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.30 : 531.96 = 327.38 : x
  2. Step 2: Convert to fraction form
    386.30/531.96 = 327.38/x
  3. Step 3: Cross multiply
    386.30x = 531.96 × 327.38
  4. Step 4: Simplify right side
    386.30x = 174,153.06
  5. Step 5: Solve for x
    x = 174,153.06/386.30
  6. Step 6: Final answer
    x = 450.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.