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Finding the Fourth Proportional to 706.41, 1,059.68 and 219.45

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Solution

The fourth proportional to 706.41, 1,059.68 and 219.45 is: 329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.41 : 1,059.68 = 219.45 : x
  2. Step 2: Convert to fraction form
    706.41/1,059.68 = 219.45/x
  3. Step 3: Cross multiply
    706.41x = 1,059.68 × 219.45
  4. Step 4: Simplify right side
    706.41x = 232,546.78
  5. Step 5: Solve for x
    x = 232,546.78/706.41
  6. Step 6: Final answer
    x = 329.20

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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.