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Finding the Fourth Proportional to 433.29, 649.44 and 213.45

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Solution

The fourth proportional to 433.29, 649.44 and 213.45 is: 319.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.29 : 649.44 = 213.45 : x
  2. Step 2: Convert to fraction form
    433.29/649.44 = 213.45/x
  3. Step 3: Cross multiply
    433.29x = 649.44 × 213.45
  4. Step 4: Simplify right side
    433.29x = 138,622.97
  5. Step 5: Solve for x
    x = 138,622.97/433.29
  6. Step 6: Final answer
    x = 319.93

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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.