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Finding the Fourth Proportional to 388.47, 582.80 and 172.10

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Solution

The fourth proportional to 388.47, 582.80 and 172.10 is: 258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.47 : 582.80 = 172.10 : x
  2. Step 2: Convert to fraction form
    388.47/582.80 = 172.10/x
  3. Step 3: Cross multiply
    388.47x = 582.80 × 172.10
  4. Step 4: Simplify right side
    388.47x = 100,299.88
  5. Step 5: Solve for x
    x = 100,299.88/388.47
  6. Step 6: Final answer
    x = 258.19

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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.