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Finding the Fourth Proportional to 388.80, 583.56 and 172.44

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Solution

The fourth proportional to 388.80, 583.56 and 172.44 is: 258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.80 : 583.56 = 172.44 : x
  2. Step 2: Convert to fraction form
    388.80/583.56 = 172.44/x
  3. Step 3: Cross multiply
    388.80x = 583.56 × 172.44
  4. Step 4: Simplify right side
    388.80x = 100,629.09
  5. Step 5: Solve for x
    x = 100,629.09/388.80
  6. Step 6: Final answer
    x = 258.82

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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.