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Finding the Fourth Proportional to 654.14, 981.33 and 269.38

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Solution

The fourth proportional to 654.14, 981.33 and 269.38 is: 404.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.14 : 981.33 = 269.38 : x
  2. Step 2: Convert to fraction form
    654.14/981.33 = 269.38/x
  3. Step 3: Cross multiply
    654.14x = 981.33 × 269.38
  4. Step 4: Simplify right side
    654.14x = 264,350.68
  5. Step 5: Solve for x
    x = 264,350.68/654.14
  6. Step 6: Final answer
    x = 404.12

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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.