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Finding the Fourth Proportional to 480.54, 721.34 and 192.18

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Solution

The fourth proportional to 480.54, 721.34 and 192.18 is: 288.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.54 : 721.34 = 192.18 : x
  2. Step 2: Convert to fraction form
    480.54/721.34 = 192.18/x
  3. Step 3: Cross multiply
    480.54x = 721.34 × 192.18
  4. Step 4: Simplify right side
    480.54x = 138,627.12
  5. Step 5: Solve for x
    x = 138,627.12/480.54
  6. Step 6: Final answer
    x = 288.48

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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.