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Finding the Fourth Proportional to 654.27, 981.42 and 269.25

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Solution

The fourth proportional to 654.27, 981.42 and 269.25 is: 403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.27 : 981.42 = 269.25 : x
  2. Step 2: Convert to fraction form
    654.27/981.42 = 269.25/x
  3. Step 3: Cross multiply
    654.27x = 981.42 × 269.25
  4. Step 4: Simplify right side
    654.27x = 264,247.34
  5. Step 5: Solve for x
    x = 264,247.34/654.27
  6. Step 6: Final answer
    x = 403.88

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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.