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Finding the Fourth Proportional to 677.67, 935.26 and 397.91

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Solution

The fourth proportional to 677.67, 935.26 and 397.91 is: 549.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.67 : 935.26 = 397.91 : x
  2. Step 2: Convert to fraction form
    677.67/935.26 = 397.91/x
  3. Step 3: Cross multiply
    677.67x = 935.26 × 397.91
  4. Step 4: Simplify right side
    677.67x = 372,150.65
  5. Step 5: Solve for x
    x = 372,150.65/677.67
  6. Step 6: Final answer
    x = 549.17

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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.