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Finding the Fourth Proportional to 489.70, 734.56 and 274.64

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Solution

The fourth proportional to 489.70, 734.56 and 274.64 is: 411.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.70 : 734.56 = 274.64 : x
  2. Step 2: Convert to fraction form
    489.70/734.56 = 274.64/x
  3. Step 3: Cross multiply
    489.70x = 734.56 × 274.64
  4. Step 4: Simplify right side
    489.70x = 201,739.56
  5. Step 5: Solve for x
    x = 201,739.56/489.70
  6. Step 6: Final answer
    x = 411.97

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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.