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Finding the Fourth Proportional to 433.98, 650.38 and 239.03

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Solution

The fourth proportional to 433.98, 650.38 and 239.03 is: 358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.98 : 650.38 = 239.03 : x
  2. Step 2: Convert to fraction form
    433.98/650.38 = 239.03/x
  3. Step 3: Cross multiply
    433.98x = 650.38 × 239.03
  4. Step 4: Simplify right side
    433.98x = 155,460.33
  5. Step 5: Solve for x
    x = 155,460.33/433.98
  6. Step 6: Final answer
    x = 358.22

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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.