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Finding the Fourth Proportional to 411, 567.12 and 263.67

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Solution

The fourth proportional to 411, 567.12 and 263.67 is: 363.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    411 : 567.12 = 263.67 : x
  2. Step 2: Convert to fraction form
    411/567.12 = 263.67/x
  3. Step 3: Cross multiply
    411x = 567.12 × 263.67
  4. Step 4: Simplify right side
    411x = 149,532.53
  5. Step 5: Solve for x
    x = 149,532.53/411
  6. Step 6: Final answer
    x = 363.83

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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.