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Finding the Fourth Proportional to 411.64, 567.86 and 280.82

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Solution

The fourth proportional to 411.64, 567.86 and 280.82 is: 387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.64 : 567.86 = 280.82 : x
  2. Step 2: Convert to fraction form
    411.64/567.86 = 280.82/x
  3. Step 3: Cross multiply
    411.64x = 567.86 × 280.82
  4. Step 4: Simplify right side
    411.64x = 159,466.45
  5. Step 5: Solve for x
    x = 159,466.45/411.64
  6. Step 6: Final answer
    x = 387.39

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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.