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Finding the Fourth Proportional to 433.67, 650.14 and 202.44

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Solution

The fourth proportional to 433.67, 650.14 and 202.44 is: 303.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.67 : 650.14 = 202.44 : x
  2. Step 2: Convert to fraction form
    433.67/650.14 = 202.44/x
  3. Step 3: Cross multiply
    433.67x = 650.14 × 202.44
  4. Step 4: Simplify right side
    433.67x = 131,612.21
  5. Step 5: Solve for x
    x = 131,612.21/433.67
  6. Step 6: Final answer
    x = 303.48

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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.