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Finding the Fourth Proportional to 427.63, 638.31 and 396.33

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Solution

The fourth proportional to 427.63, 638.31 and 396.33 is: 591.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.63 : 638.31 = 396.33 : x
  2. Step 2: Convert to fraction form
    427.63/638.31 = 396.33/x
  3. Step 3: Cross multiply
    427.63x = 638.31 × 396.33
  4. Step 4: Simplify right side
    427.63x = 252,981.40
  5. Step 5: Solve for x
    x = 252,981.40/427.63
  6. Step 6: Final answer
    x = 591.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.