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Finding the Fourth Proportional to 468.28, 701.92 and 179.64

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Solution

The fourth proportional to 468.28, 701.92 and 179.64 is: 269.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.28 : 701.92 = 179.64 : x
  2. Step 2: Convert to fraction form
    468.28/701.92 = 179.64/x
  3. Step 3: Cross multiply
    468.28x = 701.92 × 179.64
  4. Step 4: Simplify right side
    468.28x = 126,092.91
  5. Step 5: Solve for x
    x = 126,092.91/468.28
  6. Step 6: Final answer
    x = 269.27

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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.