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Finding the Fourth Proportional to 599.16, 898.42 and 274.24

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Solution

The fourth proportional to 599.16, 898.42 and 274.24 is: 411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.16 : 898.42 = 274.24 : x
  2. Step 2: Convert to fraction form
    599.16/898.42 = 274.24/x
  3. Step 3: Cross multiply
    599.16x = 898.42 × 274.24
  4. Step 4: Simplify right side
    599.16x = 246,382.70
  5. Step 5: Solve for x
    x = 246,382.70/599.16
  6. Step 6: Final answer
    x = 411.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.