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Finding the Fourth Proportional to 599.37, 827.10 and 333.81

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Solution

The fourth proportional to 599.37, 827.10 and 333.81 is: 460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.37 : 827.10 = 333.81 : x
  2. Step 2: Convert to fraction form
    599.37/827.10 = 333.81/x
  3. Step 3: Cross multiply
    599.37x = 827.10 × 333.81
  4. Step 4: Simplify right side
    599.37x = 276,094.25
  5. Step 5: Solve for x
    x = 276,094.25/599.37
  6. Step 6: Final answer
    x = 460.64

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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.