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Finding the Fourth Proportional to 380.27, 567.57 and 327.98

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Solution

The fourth proportional to 380.27, 567.57 and 327.98 is: 489.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.27 : 567.57 = 327.98 : x
  2. Step 2: Convert to fraction form
    380.27/567.57 = 327.98/x
  3. Step 3: Cross multiply
    380.27x = 567.57 × 327.98
  4. Step 4: Simplify right side
    380.27x = 186,151.61
  5. Step 5: Solve for x
    x = 186,151.61/380.27
  6. Step 6: Final answer
    x = 489.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.