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Finding the Fourth Proportional to 388.94, 583.08 and 193.82

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Solution

The fourth proportional to 388.94, 583.08 and 193.82 is: 290.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.94 : 583.08 = 193.82 : x
  2. Step 2: Convert to fraction form
    388.94/583.08 = 193.82/x
  3. Step 3: Cross multiply
    388.94x = 583.08 × 193.82
  4. Step 4: Simplify right side
    388.94x = 113,012.57
  5. Step 5: Solve for x
    x = 113,012.57/388.94
  6. Step 6: Final answer
    x = 290.57

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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.