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Finding the Fourth Proportional to 411.79, 568.21 and 234.73

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Solution

The fourth proportional to 411.79, 568.21 and 234.73 is: 323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.79 : 568.21 = 234.73 : x
  2. Step 2: Convert to fraction form
    411.79/568.21 = 234.73/x
  3. Step 3: Cross multiply
    411.79x = 568.21 × 234.73
  4. Step 4: Simplify right side
    411.79x = 133,374.81
  5. Step 5: Solve for x
    x = 133,374.81/411.79
  6. Step 6: Final answer
    x = 323.89

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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.