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Finding the Fourth Proportional to 448.94, 673.47 and 205.49

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Solution

The fourth proportional to 448.94, 673.47 and 205.49 is: 308.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.94 : 673.47 = 205.49 : x
  2. Step 2: Convert to fraction form
    448.94/673.47 = 205.49/x
  3. Step 3: Cross multiply
    448.94x = 673.47 × 205.49
  4. Step 4: Simplify right side
    448.94x = 138,391.35
  5. Step 5: Solve for x
    x = 138,391.35/448.94
  6. Step 6: Final answer
    x = 308.26

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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.