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Finding the Fourth Proportional to 480.20, 720.36 and 172.06

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Solution

The fourth proportional to 480.20, 720.36 and 172.06 is: 258.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.20 : 720.36 = 172.06 : x
  2. Step 2: Convert to fraction form
    480.20/720.36 = 172.06/x
  3. Step 3: Cross multiply
    480.20x = 720.36 × 172.06
  4. Step 4: Simplify right side
    480.20x = 123,943.34
  5. Step 5: Solve for x
    x = 123,943.34/480.20
  6. Step 6: Final answer
    x = 258.11

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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.