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Finding the Fourth Proportional to 480.38, 720.41 and 172.19

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Solution

The fourth proportional to 480.38, 720.41 and 172.19 is: 258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.38 : 720.41 = 172.19 : x
  2. Step 2: Convert to fraction form
    480.38/720.41 = 172.19/x
  3. Step 3: Cross multiply
    480.38x = 720.41 × 172.19
  4. Step 4: Simplify right side
    480.38x = 124,047.40
  5. Step 5: Solve for x
    x = 124,047.40/480.38
  6. Step 6: Final answer
    x = 258.23

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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.