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Finding the Fourth Proportional to 608.11, 838.74 and 397.95

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Solution

The fourth proportional to 608.11, 838.74 and 397.95 is: 548.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.11 : 838.74 = 397.95 : x
  2. Step 2: Convert to fraction form
    608.11/838.74 = 397.95/x
  3. Step 3: Cross multiply
    608.11x = 838.74 × 397.95
  4. Step 4: Simplify right side
    608.11x = 333,772.39
  5. Step 5: Solve for x
    x = 333,772.39/608.11
  6. Step 6: Final answer
    x = 548.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.