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Finding the Fourth Proportional to 468.20, 645.97 and 271.69

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Solution

The fourth proportional to 468.20, 645.97 and 271.69 is: 374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.20 : 645.97 = 271.69 : x
  2. Step 2: Convert to fraction form
    468.20/645.97 = 271.69/x
  3. Step 3: Cross multiply
    468.20x = 645.97 × 271.69
  4. Step 4: Simplify right side
    468.20x = 175,503.59
  5. Step 5: Solve for x
    x = 175,503.59/468.20
  6. Step 6: Final answer
    x = 374.85

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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.