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Finding the Fourth Proportional to 488.43, 673.86 and 301.80

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Solution

The fourth proportional to 488.43, 673.86 and 301.80 is: 416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.43 : 673.86 = 301.80 : x
  2. Step 2: Convert to fraction form
    488.43/673.86 = 301.80/x
  3. Step 3: Cross multiply
    488.43x = 673.86 × 301.80
  4. Step 4: Simplify right side
    488.43x = 203,370.95
  5. Step 5: Solve for x
    x = 203,370.95/488.43
  6. Step 6: Final answer
    x = 416.38

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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.