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Finding the Fourth Proportional to 480.60, 720.89 and 172.47

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Solution

The fourth proportional to 480.60, 720.89 and 172.47 is: 258.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.60 : 720.89 = 172.47 : x
  2. Step 2: Convert to fraction form
    480.60/720.89 = 172.47/x
  3. Step 3: Cross multiply
    480.60x = 720.89 × 172.47
  4. Step 4: Simplify right side
    480.60x = 124,331.04
  5. Step 5: Solve for x
    x = 124,331.04/480.60
  6. Step 6: Final answer
    x = 258.70

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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.