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Finding the Fourth Proportional to 450.77, 676.15 and 329.27

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Solution

The fourth proportional to 450.77, 676.15 and 329.27 is: 493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.77 : 676.15 = 329.27 : x
  2. Step 2: Convert to fraction form
    450.77/676.15 = 329.27/x
  3. Step 3: Cross multiply
    450.77x = 676.15 × 329.27
  4. Step 4: Simplify right side
    450.77x = 222,631.71
  5. Step 5: Solve for x
    x = 222,631.71/450.77
  6. Step 6: Final answer
    x = 493.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.