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Finding the Fourth Proportional to 411.14, 567.31 and 234.11

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Solution

The fourth proportional to 411.14, 567.31 and 234.11 is: 323.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.14 : 567.31 = 234.11 : x
  2. Step 2: Convert to fraction form
    411.14/567.31 = 234.11/x
  3. Step 3: Cross multiply
    411.14x = 567.31 × 234.11
  4. Step 4: Simplify right side
    411.14x = 132,812.94
  5. Step 5: Solve for x
    x = 132,812.94/411.14
  6. Step 6: Final answer
    x = 323.04

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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.