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Finding the Fourth Proportional to 677.44, 935.02 and 382.88

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Solution

The fourth proportional to 677.44, 935.02 and 382.88 is: 528.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.44 : 935.02 = 382.88 : x
  2. Step 2: Convert to fraction form
    677.44/935.02 = 382.88/x
  3. Step 3: Cross multiply
    677.44x = 935.02 × 382.88
  4. Step 4: Simplify right side
    677.44x = 357,996.94
  5. Step 5: Solve for x
    x = 357,996.94/677.44
  6. Step 6: Final answer
    x = 528.46

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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.