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Finding the Fourth Proportional to 601.37, 829.32 and 391.31

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Solution

The fourth proportional to 601.37, 829.32 and 391.31 is: 539.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.37 : 829.32 = 391.31 : x
  2. Step 2: Convert to fraction form
    601.37/829.32 = 391.31/x
  3. Step 3: Cross multiply
    601.37x = 829.32 × 391.31
  4. Step 4: Simplify right side
    601.37x = 324,517.06
  5. Step 5: Solve for x
    x = 324,517.06/601.37
  6. Step 6: Final answer
    x = 539.63

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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.