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Finding the Fourth Proportional to 390.09, 584.78 and 252.73

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Solution

The fourth proportional to 390.09, 584.78 and 252.73 is: 378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.09 : 584.78 = 252.73 : x
  2. Step 2: Convert to fraction form
    390.09/584.78 = 252.73/x
  3. Step 3: Cross multiply
    390.09x = 584.78 × 252.73
  4. Step 4: Simplify right side
    390.09x = 147,791.45
  5. Step 5: Solve for x
    x = 147,791.45/390.09
  6. Step 6: Final answer
    x = 378.87

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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.