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Finding the Fourth Proportional to 433.12, 649.83 and 172.99

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Solution

The fourth proportional to 433.12, 649.83 and 172.99 is: 259.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.12 : 649.83 = 172.99 : x
  2. Step 2: Convert to fraction form
    433.12/649.83 = 172.99/x
  3. Step 3: Cross multiply
    433.12x = 649.83 × 172.99
  4. Step 4: Simplify right side
    433.12x = 112,414.09
  5. Step 5: Solve for x
    x = 112,414.09/433.12
  6. Step 6: Final answer
    x = 259.54

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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.