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Finding the Fourth Proportional to 411.29, 567.55 and 234.23

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Solution

The fourth proportional to 411.29, 567.55 and 234.23 is: 323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.29 : 567.55 = 234.23 : x
  2. Step 2: Convert to fraction form
    411.29/567.55 = 234.23/x
  3. Step 3: Cross multiply
    411.29x = 567.55 × 234.23
  4. Step 4: Simplify right side
    411.29x = 132,937.24
  5. Step 5: Solve for x
    x = 132,937.24/411.29
  6. Step 6: Final answer
    x = 323.22

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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.