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Finding the Fourth Proportional to 480.61, 720.91 and 192.04

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Solution

The fourth proportional to 480.61, 720.91 and 192.04 is: 288.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.61 : 720.91 = 192.04 : x
  2. Step 2: Convert to fraction form
    480.61/720.91 = 192.04/x
  3. Step 3: Cross multiply
    480.61x = 720.91 × 192.04
  4. Step 4: Simplify right side
    480.61x = 138,443.56
  5. Step 5: Solve for x
    x = 138,443.56/480.61
  6. Step 6: Final answer
    x = 288.06

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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.