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Finding the Fourth Proportional to 706.31, 1,059.26 and 212.70

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Solution

The fourth proportional to 706.31, 1,059.26 and 212.70 is: 318.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.31 : 1,059.26 = 212.70 : x
  2. Step 2: Convert to fraction form
    706.31/1,059.26 = 212.70/x
  3. Step 3: Cross multiply
    706.31x = 1,059.26 × 212.70
  4. Step 4: Simplify right side
    706.31x = 225,304.60
  5. Step 5: Solve for x
    x = 225,304.60/706.31
  6. Step 6: Final answer
    x = 318.99

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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.