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Finding the Fourth Proportional to 376.31, 564.48 and 193.61

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Solution

The fourth proportional to 376.31, 564.48 and 193.61 is: 290.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.31 : 564.48 = 193.61 : x
  2. Step 2: Convert to fraction form
    376.31/564.48 = 193.61/x
  3. Step 3: Cross multiply
    376.31x = 564.48 × 193.61
  4. Step 4: Simplify right side
    376.31x = 109,290.38
  5. Step 5: Solve for x
    x = 109,290.38/376.31
  6. Step 6: Final answer
    x = 290.42

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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.