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Finding the Fourth Proportional to 677.75, 935.24 and 397.99

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Solution

The fourth proportional to 677.75, 935.24 and 397.99 is: 549.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.75 : 935.24 = 397.99 : x
  2. Step 2: Convert to fraction form
    677.75/935.24 = 397.99/x
  3. Step 3: Cross multiply
    677.75x = 935.24 × 397.99
  4. Step 4: Simplify right side
    677.75x = 372,211.84
  5. Step 5: Solve for x
    x = 372,211.84/677.75
  6. Step 6: Final answer
    x = 549.19

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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.