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Finding the Fourth Proportional to 433.17, 649.29 and 213.49

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Solution

The fourth proportional to 433.17, 649.29 and 213.49 is: 320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.17 : 649.29 = 213.49 : x
  2. Step 2: Convert to fraction form
    433.17/649.29 = 213.49/x
  3. Step 3: Cross multiply
    433.17x = 649.29 × 213.49
  4. Step 4: Simplify right side
    433.17x = 138,616.92
  5. Step 5: Solve for x
    x = 138,616.92/433.17
  6. Step 6: Final answer
    x = 320.01

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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.