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Finding the Fourth Proportional to 480.62, 721.02 and 192.26

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Solution

The fourth proportional to 480.62, 721.02 and 192.26 is: 288.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.62 : 721.02 = 192.26 : x
  2. Step 2: Convert to fraction form
    480.62/721.02 = 192.26/x
  3. Step 3: Cross multiply
    480.62x = 721.02 × 192.26
  4. Step 4: Simplify right side
    480.62x = 138,623.31
  5. Step 5: Solve for x
    x = 138,623.31/480.62
  6. Step 6: Final answer
    x = 288.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.