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Finding the Fourth Proportional to 596.39, 822.85 and 344.30

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Solution

The fourth proportional to 596.39, 822.85 and 344.30 is: 475.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.39 : 822.85 = 344.30 : x
  2. Step 2: Convert to fraction form
    596.39/822.85 = 344.30/x
  3. Step 3: Cross multiply
    596.39x = 822.85 × 344.30
  4. Step 4: Simplify right side
    596.39x = 283,308.45
  5. Step 5: Solve for x
    x = 283,308.45/596.39
  6. Step 6: Final answer
    x = 475.04

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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.