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Finding the Fourth Proportional to 480.74, 721.10 and 172.53

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Solution

The fourth proportional to 480.74, 721.10 and 172.53 is: 258.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.74 : 721.10 = 172.53 : x
  2. Step 2: Convert to fraction form
    480.74/721.10 = 172.53/x
  3. Step 3: Cross multiply
    480.74x = 721.10 × 172.53
  4. Step 4: Simplify right side
    480.74x = 124,410.52
  5. Step 5: Solve for x
    x = 124,410.52/480.74
  6. Step 6: Final answer
    x = 258.79

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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.