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Finding the Fourth Proportional to 596.91, 823.74 and 447.26

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Solution

The fourth proportional to 596.91, 823.74 and 447.26 is: 617.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.91 : 823.74 = 447.26 : x
  2. Step 2: Convert to fraction form
    596.91/823.74 = 447.26/x
  3. Step 3: Cross multiply
    596.91x = 823.74 × 447.26
  4. Step 4: Simplify right side
    596.91x = 368,425.78
  5. Step 5: Solve for x
    x = 368,425.78/596.91
  6. Step 6: Final answer
    x = 617.23

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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.