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Finding the Fourth Proportional to 411.75, 567.95 and 264.33

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Solution

The fourth proportional to 411.75, 567.95 and 264.33 is: 364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.75 : 567.95 = 264.33 : x
  2. Step 2: Convert to fraction form
    411.75/567.95 = 264.33/x
  3. Step 3: Cross multiply
    411.75x = 567.95 × 264.33
  4. Step 4: Simplify right side
    411.75x = 150,124.90
  5. Step 5: Solve for x
    x = 150,124.90/411.75
  6. Step 6: Final answer
    x = 364.60

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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.