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Finding the Fourth Proportional to 601.31, 829.89 and 339.41

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Solution

The fourth proportional to 601.31, 829.89 and 339.41 is: 468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.31 : 829.89 = 339.41 : x
  2. Step 2: Convert to fraction form
    601.31/829.89 = 339.41/x
  3. Step 3: Cross multiply
    601.31x = 829.89 × 339.41
  4. Step 4: Simplify right side
    601.31x = 281,675.04
  5. Step 5: Solve for x
    x = 281,675.04/601.31
  6. Step 6: Final answer
    x = 468.43

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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.