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Finding the Fourth Proportional to 601.38, 902.17 and 236.11

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Solution

The fourth proportional to 601.38, 902.17 and 236.11 is: 354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.38 : 902.17 = 236.11 : x
  2. Step 2: Convert to fraction form
    601.38/902.17 = 236.11/x
  3. Step 3: Cross multiply
    601.38x = 902.17 × 236.11
  4. Step 4: Simplify right side
    601.38x = 213,011.36
  5. Step 5: Solve for x
    x = 213,011.36/601.38
  6. Step 6: Final answer
    x = 354.20

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