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Finding the Fourth Proportional to 411.23, 567.17 and 263.87

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Solution

The fourth proportional to 411.23, 567.17 and 263.87 is: 363.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.23 : 567.17 = 263.87 : x
  2. Step 2: Convert to fraction form
    411.23/567.17 = 263.87/x
  3. Step 3: Cross multiply
    411.23x = 567.17 × 263.87
  4. Step 4: Simplify right side
    411.23x = 149,659.15
  5. Step 5: Solve for x
    x = 149,659.15/411.23
  6. Step 6: Final answer
    x = 363.93

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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.