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Finding the Fourth Proportional to 601.32, 902.34 and 236.42

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Solution

The fourth proportional to 601.32, 902.34 and 236.42 is: 354.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.32 : 902.34 = 236.42 : x
  2. Step 2: Convert to fraction form
    601.32/902.34 = 236.42/x
  3. Step 3: Cross multiply
    601.32x = 902.34 × 236.42
  4. Step 4: Simplify right side
    601.32x = 213,330.09
  5. Step 5: Solve for x
    x = 213,330.09/601.32
  6. Step 6: Final answer
    x = 354.77

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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.