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Finding the Fourth Proportional to 596.44, 822.76 and 383.82

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Solution

The fourth proportional to 596.44, 822.76 and 383.82 is: 529.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.44 : 822.76 = 383.82 : x
  2. Step 2: Convert to fraction form
    596.44/822.76 = 383.82/x
  3. Step 3: Cross multiply
    596.44x = 822.76 × 383.82
  4. Step 4: Simplify right side
    596.44x = 315,791.74
  5. Step 5: Solve for x
    x = 315,791.74/596.44
  6. Step 6: Final answer
    x = 529.46

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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.