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Finding the Fourth Proportional to 618.30, 925.29 and 426.06

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Solution

The fourth proportional to 618.30, 925.29 and 426.06 is: 637.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.30 : 925.29 = 426.06 : x
  2. Step 2: Convert to fraction form
    618.30/925.29 = 426.06/x
  3. Step 3: Cross multiply
    618.30x = 925.29 × 426.06
  4. Step 4: Simplify right side
    618.30x = 394,229.06
  5. Step 5: Solve for x
    x = 394,229.06/618.30
  6. Step 6: Final answer
    x = 637.60

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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.