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Finding the Fourth Proportional to 377.82, 567.12 and 215.82

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Solution

The fourth proportional to 377.82, 567.12 and 215.82 is: 323.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.82 : 567.12 = 215.82 : x
  2. Step 2: Convert to fraction form
    377.82/567.12 = 215.82/x
  3. Step 3: Cross multiply
    377.82x = 567.12 × 215.82
  4. Step 4: Simplify right side
    377.82x = 122,395.84
  5. Step 5: Solve for x
    x = 122,395.84/377.82
  6. Step 6: Final answer
    x = 323.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.