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Finding the Fourth Proportional to 952.53, 1,428.60 and 327.80

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Solution

The fourth proportional to 952.53, 1,428.60 and 327.80 is: 491.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.53 : 1,428.60 = 327.80 : x
  2. Step 2: Convert to fraction form
    952.53/1,428.60 = 327.80/x
  3. Step 3: Cross multiply
    952.53x = 1,428.60 × 327.80
  4. Step 4: Simplify right side
    952.53x = 468,287.94
  5. Step 5: Solve for x
    x = 468,287.94/952.53
  6. Step 6: Final answer
    x = 491.63

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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.