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Finding the Fourth Proportional to 599.71, 827.11 and 423.27

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Solution

The fourth proportional to 599.71, 827.11 and 423.27 is: 583.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.71 : 827.11 = 423.27 : x
  2. Step 2: Convert to fraction form
    599.71/827.11 = 423.27/x
  3. Step 3: Cross multiply
    599.71x = 827.11 × 423.27
  4. Step 4: Simplify right side
    599.71x = 350,090.85
  5. Step 5: Solve for x
    x = 350,090.85/599.71
  6. Step 6: Final answer
    x = 583.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.