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Finding the Fourth Proportional to 979.09, 1,468.18 and 329.38

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Solution

The fourth proportional to 979.09, 1,468.18 and 329.38 is: 493.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.09 : 1,468.18 = 329.38 : x
  2. Step 2: Convert to fraction form
    979.09/1,468.18 = 329.38/x
  3. Step 3: Cross multiply
    979.09x = 1,468.18 × 329.38
  4. Step 4: Simplify right side
    979.09x = 483,589.13
  5. Step 5: Solve for x
    x = 483,589.13/979.09
  6. Step 6: Final answer
    x = 493.92

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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.