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Finding the Fourth Proportional to 654.27, 980.87 and 269.25

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Solution

The fourth proportional to 654.27, 980.87 and 269.25 is: 403.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.27 : 980.87 = 269.25 : x
  2. Step 2: Convert to fraction form
    654.27/980.87 = 269.25/x
  3. Step 3: Cross multiply
    654.27x = 980.87 × 269.25
  4. Step 4: Simplify right side
    654.27x = 264,097.90
  5. Step 5: Solve for x
    x = 264,097.90/654.27
  6. Step 6: Final answer
    x = 403.65

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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.