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Finding the Fourth Proportional to 677.96, 935.69 and 398.21

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Solution

The fourth proportional to 677.96, 935.69 and 398.21 is: 549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.96 : 935.69 = 398.21 : x
  2. Step 2: Convert to fraction form
    677.96/935.69 = 398.21/x
  3. Step 3: Cross multiply
    677.96x = 935.69 × 398.21
  4. Step 4: Simplify right side
    677.96x = 372,594.45
  5. Step 5: Solve for x
    x = 372,594.45/677.96
  6. Step 6: Final answer
    x = 549.58

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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.