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Finding the Fourth Proportional to 978.58, 1,467.93 and 329.41

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Solution

The fourth proportional to 978.58, 1,467.93 and 329.41 is: 494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.58 : 1,467.93 = 329.41 : x
  2. Step 2: Convert to fraction form
    978.58/1,467.93 = 329.41/x
  3. Step 3: Cross multiply
    978.58x = 1,467.93 × 329.41
  4. Step 4: Simplify right side
    978.58x = 483,550.82
  5. Step 5: Solve for x
    x = 483,550.82/978.58
  6. Step 6: Final answer
    x = 494.14

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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.