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Finding the Fourth Proportional to 448.93, 673.12 and 205.53

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Solution

The fourth proportional to 448.93, 673.12 and 205.53 is: 308.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.93 : 673.12 = 205.53 : x
  2. Step 2: Convert to fraction form
    448.93/673.12 = 205.53/x
  3. Step 3: Cross multiply
    448.93x = 673.12 × 205.53
  4. Step 4: Simplify right side
    448.93x = 138,346.35
  5. Step 5: Solve for x
    x = 138,346.35/448.93
  6. Step 6: Final answer
    x = 308.17

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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.