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Finding the Fourth Proportional to 596.22, 822.50 and 347.39

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Solution

The fourth proportional to 596.22, 822.50 and 347.39 is: 479.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.22 : 822.50 = 347.39 : x
  2. Step 2: Convert to fraction form
    596.22/822.50 = 347.39/x
  3. Step 3: Cross multiply
    596.22x = 822.50 × 347.39
  4. Step 4: Simplify right side
    596.22x = 285,724.16
  5. Step 5: Solve for x
    x = 285,724.16/596.22
  6. Step 6: Final answer
    x = 479.23

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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.