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Finding the Fourth Proportional to 488.20, 673.68 and 301.70

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Solution

The fourth proportional to 488.20, 673.68 and 301.70 is: 416.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.20 : 673.68 = 301.70 : x
  2. Step 2: Convert to fraction form
    488.20/673.68 = 301.70/x
  3. Step 3: Cross multiply
    488.20x = 673.68 × 301.70
  4. Step 4: Simplify right side
    488.20x = 203,249.26
  5. Step 5: Solve for x
    x = 203,249.26/488.20
  6. Step 6: Final answer
    x = 416.32

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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.