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Finding the Fourth Proportional to 654.09, 980.19 and 329.64

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Solution

The fourth proportional to 654.09, 980.19 and 329.64 is: 493.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.09 : 980.19 = 329.64 : x
  2. Step 2: Convert to fraction form
    654.09/980.19 = 329.64/x
  3. Step 3: Cross multiply
    654.09x = 980.19 × 329.64
  4. Step 4: Simplify right side
    654.09x = 323,109.83
  5. Step 5: Solve for x
    x = 323,109.83/654.09
  6. Step 6: Final answer
    x = 493.98

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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.