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Finding the Fourth Proportional to 377.97, 567.14 and 213.60

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Solution

The fourth proportional to 377.97, 567.14 and 213.60 is: 320.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.97 : 567.14 = 213.60 : x
  2. Step 2: Convert to fraction form
    377.97/567.14 = 213.60/x
  3. Step 3: Cross multiply
    377.97x = 567.14 × 213.60
  4. Step 4: Simplify right side
    377.97x = 121,142.16
  5. Step 5: Solve for x
    x = 121,142.16/377.97
  6. Step 6: Final answer
    x = 320.51

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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.