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Finding the Fourth Proportional to 327.57, 489.53 and 266.77

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Solution

The fourth proportional to 327.57, 489.53 and 266.77 is: 398.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.57 : 489.53 = 266.77 : x
  2. Step 2: Convert to fraction form
    327.57/489.53 = 266.77/x
  3. Step 3: Cross multiply
    327.57x = 489.53 × 266.77
  4. Step 4: Simplify right side
    327.57x = 130,591.92
  5. Step 5: Solve for x
    x = 130,591.92/327.57
  6. Step 6: Final answer
    x = 398.67

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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.