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Finding the Fourth Proportional to 411.94, 567.57 and 271.82

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Solution

The fourth proportional to 411.94, 567.57 and 271.82 is: 374.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.94 : 567.57 = 271.82 : x
  2. Step 2: Convert to fraction form
    411.94/567.57 = 271.82/x
  3. Step 3: Cross multiply
    411.94x = 567.57 × 271.82
  4. Step 4: Simplify right side
    411.94x = 154,279.32
  5. Step 5: Solve for x
    x = 154,279.32/411.94
  6. Step 6: Final answer
    x = 374.52

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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.