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Finding the Fourth Proportional to 411.55, 567.97 and 234.52

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Solution

The fourth proportional to 411.55, 567.97 and 234.52 is: 323.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.55 : 567.97 = 234.52 : x
  2. Step 2: Convert to fraction form
    411.55/567.97 = 234.52/x
  3. Step 3: Cross multiply
    411.55x = 567.97 × 234.52
  4. Step 4: Simplify right side
    411.55x = 133,200.32
  5. Step 5: Solve for x
    x = 133,200.32/411.55
  6. Step 6: Final answer
    x = 323.66

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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.