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Finding the Fourth Proportional to 490.27, 734.46 and 387.40

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Solution

The fourth proportional to 490.27, 734.46 and 387.40 is: 580.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.27 : 734.46 = 387.40 : x
  2. Step 2: Convert to fraction form
    490.27/734.46 = 387.40/x
  3. Step 3: Cross multiply
    490.27x = 734.46 × 387.40
  4. Step 4: Simplify right side
    490.27x = 284,527.87
  5. Step 5: Solve for x
    x = 284,527.87/490.27
  6. Step 6: Final answer
    x = 580.35

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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.