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Finding the Fourth Proportional to 411.28, 567.91 and 280.67

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Solution

The fourth proportional to 411.28, 567.91 and 280.67 is: 387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.28 : 567.91 = 280.67 : x
  2. Step 2: Convert to fraction form
    411.28/567.91 = 280.67/x
  3. Step 3: Cross multiply
    411.28x = 567.91 × 280.67
  4. Step 4: Simplify right side
    411.28x = 159,392.81
  5. Step 5: Solve for x
    x = 159,392.81/411.28
  6. Step 6: Final answer
    x = 387.56

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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.