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Finding the Fourth Proportional to 596.44, 822.28 and 409.86

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Solution

The fourth proportional to 596.44, 822.28 and 409.86 is: 565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.44 : 822.28 = 409.86 : x
  2. Step 2: Convert to fraction form
    596.44/822.28 = 409.86/x
  3. Step 3: Cross multiply
    596.44x = 822.28 × 409.86
  4. Step 4: Simplify right side
    596.44x = 337,019.68
  5. Step 5: Solve for x
    x = 337,019.68/596.44
  6. Step 6: Final answer
    x = 565.05

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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.