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Finding the Fourth Proportional to 596.98, 823.34 and 447.96

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Solution

The fourth proportional to 596.98, 823.34 and 447.96 is: 617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.98 : 823.34 = 447.96 : x
  2. Step 2: Convert to fraction form
    596.98/823.34 = 447.96/x
  3. Step 3: Cross multiply
    596.98x = 823.34 × 447.96
  4. Step 4: Simplify right side
    596.98x = 368,823.39
  5. Step 5: Solve for x
    x = 368,823.39/596.98
  6. Step 6: Final answer
    x = 617.82

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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.