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Finding the Fourth Proportional to 451.92, 672.39 and 448.41

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Solution

The fourth proportional to 451.92, 672.39 and 448.41 is: 667.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.92 : 672.39 = 448.41 : x
  2. Step 2: Convert to fraction form
    451.92/672.39 = 448.41/x
  3. Step 3: Cross multiply
    451.92x = 672.39 × 448.41
  4. Step 4: Simplify right side
    451.92x = 301,506.40
  5. Step 5: Solve for x
    x = 301,506.40/451.92
  6. Step 6: Final answer
    x = 667.17

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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.