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Finding the Fourth Proportional to 677.73, 934.89 and 428.96

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Solution

The fourth proportional to 677.73, 934.89 and 428.96 is: 591.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.73 : 934.89 = 428.96 : x
  2. Step 2: Convert to fraction form
    677.73/934.89 = 428.96/x
  3. Step 3: Cross multiply
    677.73x = 934.89 × 428.96
  4. Step 4: Simplify right side
    677.73x = 401,030.41
  5. Step 5: Solve for x
    x = 401,030.41/677.73
  6. Step 6: Final answer
    x = 591.73

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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.