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Finding the Fourth Proportional to 601.43, 902.37 and 236.47

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Solution

The fourth proportional to 601.43, 902.37 and 236.47 is: 354.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.43 : 902.37 = 236.47 : x
  2. Step 2: Convert to fraction form
    601.43/902.37 = 236.47/x
  3. Step 3: Cross multiply
    601.43x = 902.37 × 236.47
  4. Step 4: Simplify right side
    601.43x = 213,383.43
  5. Step 5: Solve for x
    x = 213,383.43/601.43
  6. Step 6: Final answer
    x = 354.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.