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Finding the Fourth Proportional to 433.29, 649.59 and 202.29

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Solution

The fourth proportional to 433.29, 649.59 and 202.29 is: 303.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.29 : 649.59 = 202.29 : x
  2. Step 2: Convert to fraction form
    433.29/649.59 = 202.29/x
  3. Step 3: Cross multiply
    433.29x = 649.59 × 202.29
  4. Step 4: Simplify right side
    433.29x = 131,405.56
  5. Step 5: Solve for x
    x = 131,405.56/433.29
  6. Step 6: Final answer
    x = 303.27

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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.