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Finding the Fourth Proportional to 327.60, 491.32 and 190.84

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Solution

The fourth proportional to 327.60, 491.32 and 190.84 is: 286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.60 : 491.32 = 190.84 : x
  2. Step 2: Convert to fraction form
    327.60/491.32 = 190.84/x
  3. Step 3: Cross multiply
    327.60x = 491.32 × 190.84
  4. Step 4: Simplify right side
    327.60x = 93,763.51
  5. Step 5: Solve for x
    x = 93,763.51/327.60
  6. Step 6: Final answer
    x = 286.21

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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.