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Finding the Fourth Proportional to 411.30, 567.62 and 234.26

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Solution

The fourth proportional to 411.30, 567.62 and 234.26 is: 323.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.30 : 567.62 = 234.26 : x
  2. Step 2: Convert to fraction form
    411.30/567.62 = 234.26/x
  3. Step 3: Cross multiply
    411.30x = 567.62 × 234.26
  4. Step 4: Simplify right side
    411.30x = 132,970.66
  5. Step 5: Solve for x
    x = 132,970.66/411.30
  6. Step 6: Final answer
    x = 323.29

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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.