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Finding the Fourth Proportional to 411.96, 568.28 and 262.31

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Solution

The fourth proportional to 411.96, 568.28 and 262.31 is: 361.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.96 : 568.28 = 262.31 : x
  2. Step 2: Convert to fraction form
    411.96/568.28 = 262.31/x
  3. Step 3: Cross multiply
    411.96x = 568.28 × 262.31
  4. Step 4: Simplify right side
    411.96x = 149,061.37
  5. Step 5: Solve for x
    x = 149,061.37/411.96
  6. Step 6: Final answer
    x = 361.83

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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.