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Finding the Fourth Proportional to 447.81, 617.94 and 282.08

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Solution

The fourth proportional to 447.81, 617.94 and 282.08 is: 389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.81 : 617.94 = 282.08 : x
  2. Step 2: Convert to fraction form
    447.81/617.94 = 282.08/x
  3. Step 3: Cross multiply
    447.81x = 617.94 × 282.08
  4. Step 4: Simplify right side
    447.81x = 174,305.43
  5. Step 5: Solve for x
    x = 174,305.43/447.81
  6. Step 6: Final answer
    x = 389.24

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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.