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Finding the Fourth Proportional to 599.37, 827.30 and 490.02

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Solution

The fourth proportional to 599.37, 827.30 and 490.02 is: 676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.37 : 827.30 = 490.02 : x
  2. Step 2: Convert to fraction form
    599.37/827.30 = 490.02/x
  3. Step 3: Cross multiply
    599.37x = 827.30 × 490.02
  4. Step 4: Simplify right side
    599.37x = 405,397.96
  5. Step 5: Solve for x
    x = 405,397.96/599.37
  6. Step 6: Final answer
    x = 676.37

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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.