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Finding the Fourth Proportional to 599.43, 827.15 and 350.70

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Solution

The fourth proportional to 599.43, 827.15 and 350.70 is: 483.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.43 : 827.15 = 350.70 : x
  2. Step 2: Convert to fraction form
    599.43/827.15 = 350.70/x
  3. Step 3: Cross multiply
    599.43x = 827.15 × 350.70
  4. Step 4: Simplify right side
    599.43x = 290,076.65
  5. Step 5: Solve for x
    x = 290,076.65/599.43
  6. Step 6: Final answer
    x = 483.92

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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.