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Finding the Fourth Proportional to 488.09, 673.92 and 301.84

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Solution

The fourth proportional to 488.09, 673.92 and 301.84 is: 416.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.09 : 673.92 = 301.84 : x
  2. Step 2: Convert to fraction form
    488.09/673.92 = 301.84/x
  3. Step 3: Cross multiply
    488.09x = 673.92 × 301.84
  4. Step 4: Simplify right side
    488.09x = 203,414.33
  5. Step 5: Solve for x
    x = 203,414.33/488.09
  6. Step 6: Final answer
    x = 416.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.