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Finding the Fourth Proportional to 706.35, 1,059.69 and 219.36

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Solution

The fourth proportional to 706.35, 1,059.69 and 219.36 is: 329.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.35 : 1,059.69 = 219.36 : x
  2. Step 2: Convert to fraction form
    706.35/1,059.69 = 219.36/x
  3. Step 3: Cross multiply
    706.35x = 1,059.69 × 219.36
  4. Step 4: Simplify right side
    706.35x = 232,453.60
  5. Step 5: Solve for x
    x = 232,453.60/706.35
  6. Step 6: Final answer
    x = 329.09

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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.