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Finding the Fourth Proportional to 447.09, 617.06 and 433.41

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Solution

The fourth proportional to 447.09, 617.06 and 433.41 is: 598.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.09 : 617.06 = 433.41 : x
  2. Step 2: Convert to fraction form
    447.09/617.06 = 433.41/x
  3. Step 3: Cross multiply
    447.09x = 617.06 × 433.41
  4. Step 4: Simplify right side
    447.09x = 267,439.97
  5. Step 5: Solve for x
    x = 267,439.97/447.09
  6. Step 6: Final answer
    x = 598.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.