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Finding the Fourth Proportional to 596.40, 823.32 and 399.84

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Solution

The fourth proportional to 596.40, 823.32 and 399.84 is: 551.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.40 : 823.32 = 399.84 : x
  2. Step 2: Convert to fraction form
    596.40/823.32 = 399.84/x
  3. Step 3: Cross multiply
    596.40x = 823.32 × 399.84
  4. Step 4: Simplify right side
    596.40x = 329,196.27
  5. Step 5: Solve for x
    x = 329,196.27/596.40
  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.