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Finding the Fourth Proportional to 601.14, 829.44 and 339.06

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Solution

The fourth proportional to 601.14, 829.44 and 339.06 is: 467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.14 : 829.44 = 339.06 : x
  2. Step 2: Convert to fraction form
    601.14/829.44 = 339.06/x
  3. Step 3: Cross multiply
    601.14x = 829.44 × 339.06
  4. Step 4: Simplify right side
    601.14x = 281,229.93
  5. Step 5: Solve for x
    x = 281,229.93/601.14
  6. Step 6: Final answer
    x = 467.83

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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.