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Finding the Fourth Proportional to 654.08, 980.64 and 329.27

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Solution

The fourth proportional to 654.08, 980.64 and 329.27 is: 493.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.08 : 980.64 = 329.27 : x
  2. Step 2: Convert to fraction form
    654.08/980.64 = 329.27/x
  3. Step 3: Cross multiply
    654.08x = 980.64 × 329.27
  4. Step 4: Simplify right side
    654.08x = 322,890.43
  5. Step 5: Solve for x
    x = 322,890.43/654.08
  6. Step 6: Final answer
    x = 493.66

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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.