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Finding the Fourth Proportional to 433.34, 649.72 and 202.11

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Solution

The fourth proportional to 433.34, 649.72 and 202.11 is: 303.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.34 : 649.72 = 202.11 : x
  2. Step 2: Convert to fraction form
    433.34/649.72 = 202.11/x
  3. Step 3: Cross multiply
    433.34x = 649.72 × 202.11
  4. Step 4: Simplify right side
    433.34x = 131,314.91
  5. Step 5: Solve for x
    x = 131,314.91/433.34
  6. Step 6: Final answer
    x = 303.03

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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.