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Finding the Fourth Proportional to 978.74, 1,468.11 and 329.48

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Solution

The fourth proportional to 978.74, 1,468.11 and 329.48 is: 494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.74 : 1,468.11 = 329.48 : x
  2. Step 2: Convert to fraction form
    978.74/1,468.11 = 329.48/x
  3. Step 3: Cross multiply
    978.74x = 1,468.11 × 329.48
  4. Step 4: Simplify right side
    978.74x = 483,705.54
  5. Step 5: Solve for x
    x = 483,705.54/978.74
  6. Step 6: Final answer
    x = 494.22

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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.