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Finding the Fourth Proportional to 448.94, 673.20 and 205.28

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Solution

The fourth proportional to 448.94, 673.20 and 205.28 is: 307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.94 : 673.20 = 205.28 : x
  2. Step 2: Convert to fraction form
    448.94/673.20 = 205.28/x
  3. Step 3: Cross multiply
    448.94x = 673.20 × 205.28
  4. Step 4: Simplify right side
    448.94x = 138,194.50
  5. Step 5: Solve for x
    x = 138,194.50/448.94
  6. Step 6: Final answer
    x = 307.82

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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.