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Finding the Fourth Proportional to 393.82, 589.33 and 343.01

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Solution

The fourth proportional to 393.82, 589.33 and 343.01 is: 513.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.82 : 589.33 = 343.01 : x
  2. Step 2: Convert to fraction form
    393.82/589.33 = 343.01/x
  3. Step 3: Cross multiply
    393.82x = 589.33 × 343.01
  4. Step 4: Simplify right side
    393.82x = 202,146.08
  5. Step 5: Solve for x
    x = 202,146.08/393.82
  6. Step 6: Final answer
    x = 513.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.