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Finding the Fourth Proportional to 411.72, 568.14 and 234.68

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Solution

The fourth proportional to 411.72, 568.14 and 234.68 is: 323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.72 : 568.14 = 234.68 : x
  2. Step 2: Convert to fraction form
    411.72/568.14 = 234.68/x
  3. Step 3: Cross multiply
    411.72x = 568.14 × 234.68
  4. Step 4: Simplify right side
    411.72x = 133,331.10
  5. Step 5: Solve for x
    x = 133,331.10/411.72
  6. Step 6: Final answer
    x = 323.84

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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.