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Finding the Fourth Proportional to 676.75, 934.09 and 441.29

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Solution

The fourth proportional to 676.75, 934.09 and 441.29 is: 609.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.75 : 934.09 = 441.29 : x
  2. Step 2: Convert to fraction form
    676.75/934.09 = 441.29/x
  3. Step 3: Cross multiply
    676.75x = 934.09 × 441.29
  4. Step 4: Simplify right side
    676.75x = 412,199.91
  5. Step 5: Solve for x
    x = 412,199.91/676.75
  6. Step 6: Final answer
    x = 609.09

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