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Finding the Fourth Proportional to 596.17, 822.51 and 347.43

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Solution

The fourth proportional to 596.17, 822.51 and 347.43 is: 479.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.17 : 822.51 = 347.43 : x
  2. Step 2: Convert to fraction form
    596.17/822.51 = 347.43/x
  3. Step 3: Cross multiply
    596.17x = 822.51 × 347.43
  4. Step 4: Simplify right side
    596.17x = 285,763.90
  5. Step 5: Solve for x
    x = 285,763.90/596.17
  6. Step 6: Final answer
    x = 479.34

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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.