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Finding the Fourth Proportional to 625.09, 935.90 and 405.97

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Solution

The fourth proportional to 625.09, 935.90 and 405.97 is: 607.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.09 : 935.90 = 405.97 : x
  2. Step 2: Convert to fraction form
    625.09/935.90 = 405.97/x
  3. Step 3: Cross multiply
    625.09x = 935.90 × 405.97
  4. Step 4: Simplify right side
    625.09x = 379,940.61
  5. Step 5: Solve for x
    x = 379,940.61/625.09
  6. Step 6: Final answer
    x = 607.82

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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.