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Finding the Fourth Proportional to 447.48, 673.88 and 406.52

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Solution

The fourth proportional to 447.48, 673.88 and 406.52 is: 612.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.48 : 673.88 = 406.52 : x
  2. Step 2: Convert to fraction form
    447.48/673.88 = 406.52/x
  3. Step 3: Cross multiply
    447.48x = 673.88 × 406.52
  4. Step 4: Simplify right side
    447.48x = 273,945.70
  5. Step 5: Solve for x
    x = 273,945.70/447.48
  6. Step 6: Final answer
    x = 612.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.