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Finding the Fourth Proportional to 599.06, 898.31 and 228.88

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Solution

The fourth proportional to 599.06, 898.31 and 228.88 is: 343.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.06 : 898.31 = 228.88 : x
  2. Step 2: Convert to fraction form
    599.06/898.31 = 228.88/x
  3. Step 3: Cross multiply
    599.06x = 898.31 × 228.88
  4. Step 4: Simplify right side
    599.06x = 205,604.05
  5. Step 5: Solve for x
    x = 205,604.05/599.06
  6. Step 6: Final answer
    x = 343.21

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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.