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Finding the Fourth Proportional to 433.08, 649.97 and 202.01

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Solution

The fourth proportional to 433.08, 649.97 and 202.01 is: 303.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.08 : 649.97 = 202.01 : x
  2. Step 2: Convert to fraction form
    433.08/649.97 = 202.01/x
  3. Step 3: Cross multiply
    433.08x = 649.97 × 202.01
  4. Step 4: Simplify right side
    433.08x = 131,300.44
  5. Step 5: Solve for x
    x = 131,300.44/433.08
  6. Step 6: Final answer
    x = 303.18

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Why These Related Problems?

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