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Finding the Fourth Proportional to 599.28, 898.96 and 252.26

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Solution

The fourth proportional to 599.28, 898.96 and 252.26 is: 378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.28 : 898.96 = 252.26 : x
  2. Step 2: Convert to fraction form
    599.28/898.96 = 252.26/x
  3. Step 3: Cross multiply
    599.28x = 898.96 × 252.26
  4. Step 4: Simplify right side
    599.28x = 226,771.65
  5. Step 5: Solve for x
    x = 226,771.65/599.28
  6. Step 6: Final answer
    x = 378.41

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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.