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Finding the Fourth Proportional to 601.26, 829.66 and 339.31

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Solution

The fourth proportional to 601.26, 829.66 and 339.31 is: 468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.26 : 829.66 = 339.31 : x
  2. Step 2: Convert to fraction form
    601.26/829.66 = 339.31/x
  3. Step 3: Cross multiply
    601.26x = 829.66 × 339.31
  4. Step 4: Simplify right side
    601.26x = 281,511.93
  5. Step 5: Solve for x
    x = 281,511.93/601.26
  6. Step 6: Final answer
    x = 468.20

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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.