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Finding the Fourth Proportional to 601, 829.29 and 339.01

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Solution

The fourth proportional to 601, 829.29 and 339.01 is: 467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    601 : 829.29 = 339.01 : x
  2. Step 2: Convert to fraction form
    601/829.29 = 339.01/x
  3. Step 3: Cross multiply
    601x = 829.29 × 339.01
  4. Step 4: Simplify right side
    601x = 281,137.60
  5. Step 5: Solve for x
    x = 281,137.60/601
  6. Step 6: Final answer
    x = 467.78

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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.