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Finding the Fourth Proportional to 596.20, 822.80 and 347.54

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Solution

The fourth proportional to 596.20, 822.80 and 347.54 is: 479.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.20 : 822.80 = 347.54 : x
  2. Step 2: Convert to fraction form
    596.20/822.80 = 347.54/x
  3. Step 3: Cross multiply
    596.20x = 822.80 × 347.54
  4. Step 4: Simplify right side
    596.20x = 285,955.91
  5. Step 5: Solve for x
    x = 285,955.91/596.20
  6. Step 6: Final answer
    x = 479.63

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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.