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Finding the Fourth Proportional to 599.20, 827 and 347.24

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Solution

The fourth proportional to 599.20, 827 and 347.24 is: 479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.20 : 827 = 347.24 : x
  2. Step 2: Convert to fraction form
    599.20/827 = 347.24/x
  3. Step 3: Cross multiply
    599.20x = 827 × 347.24
  4. Step 4: Simplify right side
    599.20x = 287,167.48
  5. Step 5: Solve for x
    x = 287,167.48/599.20
  6. Step 6: Final answer
    x = 479.25

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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.