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Finding the Fourth Proportional to 978.04, 1,467.05 and 329.23

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Solution

The fourth proportional to 978.04, 1,467.05 and 329.23 is: 493.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.04 : 1,467.05 = 329.23 : x
  2. Step 2: Convert to fraction form
    978.04/1,467.05 = 329.23/x
  3. Step 3: Cross multiply
    978.04x = 1,467.05 × 329.23
  4. Step 4: Simplify right side
    978.04x = 482,991.89
  5. Step 5: Solve for x
    x = 482,991.89/978.04
  6. Step 6: Final answer
    x = 493.84

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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.