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Finding the Fourth Proportional to 389.44, 583.09 and 252.15

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Solution

The fourth proportional to 389.44, 583.09 and 252.15 is: 377.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.44 : 583.09 = 252.15 : x
  2. Step 2: Convert to fraction form
    389.44/583.09 = 252.15/x
  3. Step 3: Cross multiply
    389.44x = 583.09 × 252.15
  4. Step 4: Simplify right side
    389.44x = 147,026.14
  5. Step 5: Solve for x
    x = 147,026.14/389.44
  6. Step 6: Final answer
    x = 377.53

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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.