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Finding the Fourth Proportional to 380.96, 570.48 and 327.20

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Solution

The fourth proportional to 380.96, 570.48 and 327.20 is: 489.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.96 : 570.48 = 327.20 : x
  2. Step 2: Convert to fraction form
    380.96/570.48 = 327.20/x
  3. Step 3: Cross multiply
    380.96x = 570.48 × 327.20
  4. Step 4: Simplify right side
    380.96x = 186,661.06
  5. Step 5: Solve for x
    x = 186,661.06/380.96
  6. Step 6: Final answer
    x = 489.98

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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.