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Finding the Fourth Proportional to 978.62, 1,467.99 and 329.40

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Solution

The fourth proportional to 978.62, 1,467.99 and 329.40 is: 494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.62 : 1,467.99 = 329.40 : x
  2. Step 2: Convert to fraction form
    978.62/1,467.99 = 329.40/x
  3. Step 3: Cross multiply
    978.62x = 1,467.99 × 329.40
  4. Step 4: Simplify right side
    978.62x = 483,555.91
  5. Step 5: Solve for x
    x = 483,555.91/978.62
  6. Step 6: Final answer
    x = 494.12

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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.