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Finding the Fourth Proportional to 599.06, 898.68 and 228.89

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Solution

The fourth proportional to 599.06, 898.68 and 228.89 is: 343.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.06 : 898.68 = 228.89 : x
  2. Step 2: Convert to fraction form
    599.06/898.68 = 228.89/x
  3. Step 3: Cross multiply
    599.06x = 898.68 × 228.89
  4. Step 4: Simplify right side
    599.06x = 205,694.37
  5. Step 5: Solve for x
    x = 205,694.37/599.06
  6. Step 6: Final answer
    x = 343.36

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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.