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Finding the Fourth Proportional to 480.46, 720.17 and 172.23

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Solution

The fourth proportional to 480.46, 720.17 and 172.23 is: 258.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.46 : 720.17 = 172.23 : x
  2. Step 2: Convert to fraction form
    480.46/720.17 = 172.23/x
  3. Step 3: Cross multiply
    480.46x = 720.17 × 172.23
  4. Step 4: Simplify right side
    480.46x = 124,032.57
  5. Step 5: Solve for x
    x = 124,032.57/480.46
  6. Step 6: Final answer
    x = 258.16

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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.