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Finding the Fourth Proportional to 601.31, 901.97 and 211.30

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Solution

The fourth proportional to 601.31, 901.97 and 211.30 is: 316.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.31 : 901.97 = 211.30 : x
  2. Step 2: Convert to fraction form
    601.31/901.97 = 211.30/x
  3. Step 3: Cross multiply
    601.31x = 901.97 × 211.30
  4. Step 4: Simplify right side
    601.31x = 190,586.26
  5. Step 5: Solve for x
    x = 190,586.26/601.31
  6. Step 6: Final answer
    x = 316.95

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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.