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Finding the Fourth Proportional to 596.33, 822.78 and 399.50

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Solution

The fourth proportional to 596.33, 822.78 and 399.50 is: 551.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.33 : 822.78 = 399.50 : x
  2. Step 2: Convert to fraction form
    596.33/822.78 = 399.50/x
  3. Step 3: Cross multiply
    596.33x = 822.78 × 399.50
  4. Step 4: Simplify right side
    596.33x = 328,700.61
  5. Step 5: Solve for x
    x = 328,700.61/596.33
  6. Step 6: Final answer
    x = 551.21

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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.