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Finding the Fourth Proportional to 599.37, 827.15 and 350.71

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Solution

The fourth proportional to 599.37, 827.15 and 350.71 is: 484.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.37 : 827.15 = 350.71 : x
  2. Step 2: Convert to fraction form
    599.37/827.15 = 350.71/x
  3. Step 3: Cross multiply
    599.37x = 827.15 × 350.71
  4. Step 4: Simplify right side
    599.37x = 290,090.61
  5. Step 5: Solve for x
    x = 290,090.61/599.37
  6. Step 6: Final answer
    x = 484.00

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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.