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Finding the Fourth Proportional to 448.65, 673.26 and 205.38

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Solution

The fourth proportional to 448.65, 673.26 and 205.38 is: 308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.65 : 673.26 = 205.38 : x
  2. Step 2: Convert to fraction form
    448.65/673.26 = 205.38/x
  3. Step 3: Cross multiply
    448.65x = 673.26 × 205.38
  4. Step 4: Simplify right side
    448.65x = 138,274.14
  5. Step 5: Solve for x
    x = 138,274.14/448.65
  6. Step 6: Final answer
    x = 308.20

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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.