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Finding the Fourth Proportional to 433.82, 599.09 and 371.28

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Solution

The fourth proportional to 433.82, 599.09 and 371.28 is: 512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.82 : 599.09 = 371.28 : x
  2. Step 2: Convert to fraction form
    433.82/599.09 = 371.28/x
  3. Step 3: Cross multiply
    433.82x = 599.09 × 371.28
  4. Step 4: Simplify right side
    433.82x = 222,431.06
  5. Step 5: Solve for x
    x = 222,431.06/433.82
  6. Step 6: Final answer
    x = 512.72

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