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Finding the Fourth Proportional to 654.78, 982.50 and 330.15

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Solution

The fourth proportional to 654.78, 982.50 and 330.15 is: 495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.78 : 982.50 = 330.15 : x
  2. Step 2: Convert to fraction form
    654.78/982.50 = 330.15/x
  3. Step 3: Cross multiply
    654.78x = 982.50 × 330.15
  4. Step 4: Simplify right side
    654.78x = 324,372.38
  5. Step 5: Solve for x
    x = 324,372.38/654.78
  6. Step 6: Final answer
    x = 495.39

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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.