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Finding the Fourth Proportional to 596.27, 822.75 and 399.83

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Solution

The fourth proportional to 596.27, 822.75 and 399.83 is: 551.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.27 : 822.75 = 399.83 : x
  2. Step 2: Convert to fraction form
    596.27/822.75 = 399.83/x
  3. Step 3: Cross multiply
    596.27x = 822.75 × 399.83
  4. Step 4: Simplify right side
    596.27x = 328,960.13
  5. Step 5: Solve for x
    x = 328,960.13/596.27
  6. Step 6: Final answer
    x = 551.70

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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.