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Finding the Fourth Proportional to 978.27, 1,467.40 and 329.02

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Solution

The fourth proportional to 978.27, 1,467.40 and 329.02 is: 493.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.27 : 1,467.40 = 329.02 : x
  2. Step 2: Convert to fraction form
    978.27/1,467.40 = 329.02/x
  3. Step 3: Cross multiply
    978.27x = 1,467.40 × 329.02
  4. Step 4: Simplify right side
    978.27x = 482,803.95
  5. Step 5: Solve for x
    x = 482,803.95/978.27
  6. Step 6: Final answer
    x = 493.53

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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.