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Finding the Fourth Proportional to 599.32, 898.92 and 274.60

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Solution

The fourth proportional to 599.32, 898.92 and 274.60 is: 411.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.32 : 898.92 = 274.60 : x
  2. Step 2: Convert to fraction form
    599.32/898.92 = 274.60/x
  3. Step 3: Cross multiply
    599.32x = 898.92 × 274.60
  4. Step 4: Simplify right side
    599.32x = 246,843.43
  5. Step 5: Solve for x
    x = 246,843.43/599.32
  6. Step 6: Final answer
    x = 411.87

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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.