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Finding the Fourth Proportional to 411.28, 567.54 and 234.22

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Solution

The fourth proportional to 411.28, 567.54 and 234.22 is: 323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.28 : 567.54 = 234.22 : x
  2. Step 2: Convert to fraction form
    411.28/567.54 = 234.22/x
  3. Step 3: Cross multiply
    411.28x = 567.54 × 234.22
  4. Step 4: Simplify right side
    411.28x = 132,929.22
  5. Step 5: Solve for x
    x = 132,929.22/411.28
  6. Step 6: Final answer
    x = 323.21

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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.