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Finding the Fourth Proportional to 654.33, 980.82 and 243.21

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Solution

The fourth proportional to 654.33, 980.82 and 243.21 is: 364.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.33 : 980.82 = 243.21 : x
  2. Step 2: Convert to fraction form
    654.33/980.82 = 243.21/x
  3. Step 3: Cross multiply
    654.33x = 980.82 × 243.21
  4. Step 4: Simplify right side
    654.33x = 238,545.23
  5. Step 5: Solve for x
    x = 238,545.23/654.33
  6. Step 6: Final answer
    x = 364.56

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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.