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Finding the Fourth Proportional to 467.96, 645.92 and 271.55

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Solution

The fourth proportional to 467.96, 645.92 and 271.55 is: 374.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.96 : 645.92 = 271.55 : x
  2. Step 2: Convert to fraction form
    467.96/645.92 = 271.55/x
  3. Step 3: Cross multiply
    467.96x = 645.92 × 271.55
  4. Step 4: Simplify right side
    467.96x = 175,394.99
  5. Step 5: Solve for x
    x = 175,394.99/467.96
  6. Step 6: Final answer
    x = 374.81

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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.