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Finding the Fourth Proportional to 486.28, 728.34 and 269.38

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Solution

The fourth proportional to 486.28, 728.34 and 269.38 is: 403.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.28 : 728.34 = 269.38 : x
  2. Step 2: Convert to fraction form
    486.28/728.34 = 269.38/x
  3. Step 3: Cross multiply
    486.28x = 728.34 × 269.38
  4. Step 4: Simplify right side
    486.28x = 196,200.23
  5. Step 5: Solve for x
    x = 196,200.23/486.28
  6. Step 6: Final answer
    x = 403.47

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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.