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Finding the Fourth Proportional to 596.22, 822.94 and 347.64

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Solution

The fourth proportional to 596.22, 822.94 and 347.64 is: 479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.22 : 822.94 = 347.64 : x
  2. Step 2: Convert to fraction form
    596.22/822.94 = 347.64/x
  3. Step 3: Cross multiply
    596.22x = 822.94 × 347.64
  4. Step 4: Simplify right side
    596.22x = 286,086.86
  5. Step 5: Solve for x
    x = 286,086.86/596.22
  6. Step 6: Final answer
    x = 479.83

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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.