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Finding the Fourth Proportional to 448.83, 673.23 and 205.29

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Solution

The fourth proportional to 448.83, 673.23 and 205.29 is: 307.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.83 : 673.23 = 205.29 : x
  2. Step 2: Convert to fraction form
    448.83/673.23 = 205.29/x
  3. Step 3: Cross multiply
    448.83x = 673.23 × 205.29
  4. Step 4: Simplify right side
    448.83x = 138,207.39
  5. Step 5: Solve for x
    x = 138,207.39/448.83
  6. Step 6: Final answer
    x = 307.93

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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.