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Finding the Fourth Proportional to 493.07, 677.39 and 441.29

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Solution

The fourth proportional to 493.07, 677.39 and 441.29 is: 606.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.07 : 677.39 = 441.29 : x
  2. Step 2: Convert to fraction form
    493.07/677.39 = 441.29/x
  3. Step 3: Cross multiply
    493.07x = 677.39 × 441.29
  4. Step 4: Simplify right side
    493.07x = 298,919.84
  5. Step 5: Solve for x
    x = 298,919.84/493.07
  6. Step 6: Final answer
    x = 606.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.