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Finding the Fourth Proportional to 601.25, 829.66 and 339.22

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Solution

The fourth proportional to 601.25, 829.66 and 339.22 is: 468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.25 : 829.66 = 339.22 : x
  2. Step 2: Convert to fraction form
    601.25/829.66 = 339.22/x
  3. Step 3: Cross multiply
    601.25x = 829.66 × 339.22
  4. Step 4: Simplify right side
    601.25x = 281,437.27
  5. Step 5: Solve for x
    x = 281,437.27/601.25
  6. Step 6: Final answer
    x = 468.09

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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.