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Finding the Fourth Proportional to 677.96, 935.28 and 398.22

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Solution

The fourth proportional to 677.96, 935.28 and 398.22 is: 549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.96 : 935.28 = 398.22 : x
  2. Step 2: Convert to fraction form
    677.96/935.28 = 398.22/x
  3. Step 3: Cross multiply
    677.96x = 935.28 × 398.22
  4. Step 4: Simplify right side
    677.96x = 372,447.20
  5. Step 5: Solve for x
    x = 372,447.20/677.96
  6. Step 6: Final answer
    x = 549.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.