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Finding the Fourth Proportional to 388.41, 583.14 and 205.95

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Solution

The fourth proportional to 388.41, 583.14 and 205.95 is: 309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.41 : 583.14 = 205.95 : x
  2. Step 2: Convert to fraction form
    388.41/583.14 = 205.95/x
  3. Step 3: Cross multiply
    388.41x = 583.14 × 205.95
  4. Step 4: Simplify right side
    388.41x = 120,097.68
  5. Step 5: Solve for x
    x = 120,097.68/388.41
  6. Step 6: Final answer
    x = 309.20

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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.