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Finding the Fourth Proportional to 601.05, 829.37 and 335.48

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Solution

The fourth proportional to 601.05, 829.37 and 335.48 is: 462.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.05 : 829.37 = 335.48 : x
  2. Step 2: Convert to fraction form
    601.05/829.37 = 335.48/x
  3. Step 3: Cross multiply
    601.05x = 829.37 × 335.48
  4. Step 4: Simplify right side
    601.05x = 278,235.37
  5. Step 5: Solve for x
    x = 278,235.37/601.05
  6. Step 6: Final answer
    x = 462.92

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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.