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Finding the Fourth Proportional to 654.19, 979.80 and 329.65

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Solution

The fourth proportional to 654.19, 979.80 and 329.65 is: 493.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.19 : 979.80 = 329.65 : x
  2. Step 2: Convert to fraction form
    654.19/979.80 = 329.65/x
  3. Step 3: Cross multiply
    654.19x = 979.80 × 329.65
  4. Step 4: Simplify right side
    654.19x = 322,991.07
  5. Step 5: Solve for x
    x = 322,991.07/654.19
  6. Step 6: Final answer
    x = 493.73

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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.