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Finding the Fourth Proportional to 411.06, 567.36 and 280.20

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Solution

The fourth proportional to 411.06, 567.36 and 280.20 is: 386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.06 : 567.36 = 280.20 : x
  2. Step 2: Convert to fraction form
    411.06/567.36 = 280.20/x
  3. Step 3: Cross multiply
    411.06x = 567.36 × 280.20
  4. Step 4: Simplify right side
    411.06x = 158,974.27
  5. Step 5: Solve for x
    x = 158,974.27/411.06
  6. Step 6: Final answer
    x = 386.74

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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.