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Finding the Fourth Proportional to 599.66, 827.32 and 350.89

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Solution

The fourth proportional to 599.66, 827.32 and 350.89 is: 484.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.66 : 827.32 = 350.89 : x
  2. Step 2: Convert to fraction form
    599.66/827.32 = 350.89/x
  3. Step 3: Cross multiply
    599.66x = 827.32 × 350.89
  4. Step 4: Simplify right side
    599.66x = 290,296.03
  5. Step 5: Solve for x
    x = 290,296.03/599.66
  6. Step 6: Final answer
    x = 484.10

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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.