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Finding the Fourth Proportional to 411.92, 567.94 and 323.24

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Solution

The fourth proportional to 411.92, 567.94 and 323.24 is: 445.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.92 : 567.94 = 323.24 : x
  2. Step 2: Convert to fraction form
    411.92/567.94 = 323.24/x
  3. Step 3: Cross multiply
    411.92x = 567.94 × 323.24
  4. Step 4: Simplify right side
    411.92x = 183,580.93
  5. Step 5: Solve for x
    x = 183,580.93/411.92
  6. Step 6: Final answer
    x = 445.67

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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.