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Finding the Fourth Proportional to 411.03, 567.22 and 263.66

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Solution

The fourth proportional to 411.03, 567.22 and 263.66 is: 363.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.03 : 567.22 = 263.66 : x
  2. Step 2: Convert to fraction form
    411.03/567.22 = 263.66/x
  3. Step 3: Cross multiply
    411.03x = 567.22 × 263.66
  4. Step 4: Simplify right side
    411.03x = 149,552.43
  5. Step 5: Solve for x
    x = 149,552.43/411.03
  6. Step 6: Final answer
    x = 363.85

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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.