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Finding the Fourth Proportional to 392.85, 589.28 and 271.08

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Solution

The fourth proportional to 392.85, 589.28 and 271.08 is: 406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.85 : 589.28 = 271.08 : x
  2. Step 2: Convert to fraction form
    392.85/589.28 = 271.08/x
  3. Step 3: Cross multiply
    392.85x = 589.28 × 271.08
  4. Step 4: Simplify right side
    392.85x = 159,742.02
  5. Step 5: Solve for x
    x = 159,742.02/392.85
  6. Step 6: Final answer
    x = 406.62

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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.