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Finding the Fourth Proportional to 411.60, 567.95 and 264.43

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Solution

The fourth proportional to 411.60, 567.95 and 264.43 is: 364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.60 : 567.95 = 264.43 : x
  2. Step 2: Convert to fraction form
    411.60/567.95 = 264.43/x
  3. Step 3: Cross multiply
    411.60x = 567.95 × 264.43
  4. Step 4: Simplify right side
    411.60x = 150,185.10
  5. Step 5: Solve for x
    x = 150,185.10/411.60
  6. Step 6: Final answer
    x = 364.88

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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.