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Finding the Fourth Proportional to 388.63, 583.05 and 114.73

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Solution

The fourth proportional to 388.63, 583.05 and 114.73 is: 172.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.63 : 583.05 = 114.73 : x
  2. Step 2: Convert to fraction form
    388.63/583.05 = 114.73/x
  3. Step 3: Cross multiply
    388.63x = 583.05 × 114.73
  4. Step 4: Simplify right side
    388.63x = 66,893.33
  5. Step 5: Solve for x
    x = 66,893.33/388.63
  6. Step 6: Final answer
    x = 172.13

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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.