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Finding the Fourth Proportional to 618.12, 926.51 and 252.47

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Solution

The fourth proportional to 618.12, 926.51 and 252.47 is: 378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.12 : 926.51 = 252.47 : x
  2. Step 2: Convert to fraction form
    618.12/926.51 = 252.47/x
  3. Step 3: Cross multiply
    618.12x = 926.51 × 252.47
  4. Step 4: Simplify right side
    618.12x = 233,917.03
  5. Step 5: Solve for x
    x = 233,917.03/618.12
  6. Step 6: Final answer
    x = 378.43

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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.