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Finding the Fourth Proportional to 706.46, 1,059.62 and 244.20

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Solution

The fourth proportional to 706.46, 1,059.62 and 244.20 is: 366.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.46 : 1,059.62 = 244.20 : x
  2. Step 2: Convert to fraction form
    706.46/1,059.62 = 244.20/x
  3. Step 3: Cross multiply
    706.46x = 1,059.62 × 244.20
  4. Step 4: Simplify right side
    706.46x = 258,759.20
  5. Step 5: Solve for x
    x = 258,759.20/706.46
  6. Step 6: Final answer
    x = 366.28

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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.