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Finding the Fourth Proportional to 448.12, 667.72 and 443.94

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Solution

The fourth proportional to 448.12, 667.72 and 443.94 is: 661.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.12 : 667.72 = 443.94 : x
  2. Step 2: Convert to fraction form
    448.12/667.72 = 443.94/x
  3. Step 3: Cross multiply
    448.12x = 667.72 × 443.94
  4. Step 4: Simplify right side
    448.12x = 296,427.62
  5. Step 5: Solve for x
    x = 296,427.62/448.12
  6. Step 6: Final answer
    x = 661.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.