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Finding the Fourth Proportional to 677.50, 935.11 and 397.75

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Solution

The fourth proportional to 677.50, 935.11 and 397.75 is: 548.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.50 : 935.11 = 397.75 : x
  2. Step 2: Convert to fraction form
    677.50/935.11 = 397.75/x
  3. Step 3: Cross multiply
    677.50x = 935.11 × 397.75
  4. Step 4: Simplify right side
    677.50x = 371,940.00
  5. Step 5: Solve for x
    x = 371,940.00/677.50
  6. Step 6: Final answer
    x = 548.99

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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.