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Finding the Fourth Proportional to 706.37, 1,059.72 and 219.40

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Solution

The fourth proportional to 706.37, 1,059.72 and 219.40 is: 329.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.37 : 1,059.72 = 219.40 : x
  2. Step 2: Convert to fraction form
    706.37/1,059.72 = 219.40/x
  3. Step 3: Cross multiply
    706.37x = 1,059.72 × 219.40
  4. Step 4: Simplify right side
    706.37x = 232,497.27
  5. Step 5: Solve for x
    x = 232,497.27/706.37
  6. Step 6: Final answer
    x = 329.14

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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.