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Finding the Fourth Proportional to 599.54, 899.16 and 229.27

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Solution

The fourth proportional to 599.54, 899.16 and 229.27 is: 343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.54 : 899.16 = 229.27 : x
  2. Step 2: Convert to fraction form
    599.54/899.16 = 229.27/x
  3. Step 3: Cross multiply
    599.54x = 899.16 × 229.27
  4. Step 4: Simplify right side
    599.54x = 206,146.78
  5. Step 5: Solve for x
    x = 206,146.78/599.54
  6. Step 6: Final answer
    x = 343.84

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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.