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Finding the Fourth Proportional to 599.37, 827.24 and 347.31

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Solution

The fourth proportional to 599.37, 827.24 and 347.31 is: 479.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.37 : 827.24 = 347.31 : x
  2. Step 2: Convert to fraction form
    599.37/827.24 = 347.31/x
  3. Step 3: Cross multiply
    599.37x = 827.24 × 347.31
  4. Step 4: Simplify right side
    599.37x = 287,307.86
  5. Step 5: Solve for x
    x = 287,307.86/599.37
  6. Step 6: Final answer
    x = 479.35

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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.