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Finding the Fourth Proportional to 608.11, 912.44 and 261.41

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Solution

The fourth proportional to 608.11, 912.44 and 261.41 is: 392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.11 : 912.44 = 261.41 : x
  2. Step 2: Convert to fraction form
    608.11/912.44 = 261.41/x
  3. Step 3: Cross multiply
    608.11x = 912.44 × 261.41
  4. Step 4: Simplify right side
    608.11x = 238,517.03
  5. Step 5: Solve for x
    x = 238,517.03/608.11
  6. Step 6: Final answer
    x = 392.23

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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.