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Finding the Fourth Proportional to 383.36, 529.41 and 327.77

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Solution

The fourth proportional to 383.36, 529.41 and 327.77 is: 452.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.36 : 529.41 = 327.77 : x
  2. Step 2: Convert to fraction form
    383.36/529.41 = 327.77/x
  3. Step 3: Cross multiply
    383.36x = 529.41 × 327.77
  4. Step 4: Simplify right side
    383.36x = 173,523.08
  5. Step 5: Solve for x
    x = 173,523.08/383.36
  6. Step 6: Final answer
    x = 452.64

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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.