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Finding the Fourth Proportional to 599.29, 827.08 and 350.69

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Solution

The fourth proportional to 599.29, 827.08 and 350.69 is: 483.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.29 : 827.08 = 350.69 : x
  2. Step 2: Convert to fraction form
    599.29/827.08 = 350.69/x
  3. Step 3: Cross multiply
    599.29x = 827.08 × 350.69
  4. Step 4: Simplify right side
    599.29x = 290,048.69
  5. Step 5: Solve for x
    x = 290,048.69/599.29
  6. Step 6: Final answer
    x = 483.99

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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.