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Finding the Fourth Proportional to 596.28, 822.90 and 399.96

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Solution

The fourth proportional to 596.28, 822.90 and 399.96 is: 551.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.28 : 822.90 = 399.96 : x
  2. Step 2: Convert to fraction form
    596.28/822.90 = 399.96/x
  3. Step 3: Cross multiply
    596.28x = 822.90 × 399.96
  4. Step 4: Simplify right side
    596.28x = 329,127.08
  5. Step 5: Solve for x
    x = 329,127.08/596.28
  6. Step 6: Final answer
    x = 551.97

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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.