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Finding the Fourth Proportional to 486.92, 729.10 and 269.40

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Solution

The fourth proportional to 486.92, 729.10 and 269.40 is: 403.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.92 : 729.10 = 269.40 : x
  2. Step 2: Convert to fraction form
    486.92/729.10 = 269.40/x
  3. Step 3: Cross multiply
    486.92x = 729.10 × 269.40
  4. Step 4: Simplify right side
    486.92x = 196,419.54
  5. Step 5: Solve for x
    x = 196,419.54/486.92
  6. Step 6: Final answer
    x = 403.39

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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.