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Finding the Fourth Proportional to 596.11, 822.86 and 399.74

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Solution

The fourth proportional to 596.11, 822.86 and 399.74 is: 551.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.11 : 822.86 = 399.74 : x
  2. Step 2: Convert to fraction form
    596.11/822.86 = 399.74/x
  3. Step 3: Cross multiply
    596.11x = 822.86 × 399.74
  4. Step 4: Simplify right side
    596.11x = 328,925.44
  5. Step 5: Solve for x
    x = 328,925.44/596.11
  6. Step 6: Final answer
    x = 551.79

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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.