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Finding the Fourth Proportional to 411.49, 567.16 and 280.27

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Solution

The fourth proportional to 411.49, 567.16 and 280.27 is: 386.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.49 : 567.16 = 280.27 : x
  2. Step 2: Convert to fraction form
    411.49/567.16 = 280.27/x
  3. Step 3: Cross multiply
    411.49x = 567.16 × 280.27
  4. Step 4: Simplify right side
    411.49x = 158,957.93
  5. Step 5: Solve for x
    x = 158,957.93/411.49
  6. Step 6: Final answer
    x = 386.30

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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.