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Finding the Fourth Proportional to 706.22, 974.67 and 444.23

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Solution

The fourth proportional to 706.22, 974.67 and 444.23 is: 613.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.22 : 974.67 = 444.23 : x
  2. Step 2: Convert to fraction form
    706.22/974.67 = 444.23/x
  3. Step 3: Cross multiply
    706.22x = 974.67 × 444.23
  4. Step 4: Simplify right side
    706.22x = 432,977.65
  5. Step 5: Solve for x
    x = 432,977.65/706.22
  6. Step 6: Final answer
    x = 613.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.