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Finding the Fourth Proportional to 677.20, 934.98 and 428.60

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Solution

The fourth proportional to 677.20, 934.98 and 428.60 is: 591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.20 : 934.98 = 428.60 : x
  2. Step 2: Convert to fraction form
    677.20/934.98 = 428.60/x
  3. Step 3: Cross multiply
    677.20x = 934.98 × 428.60
  4. Step 4: Simplify right side
    677.20x = 400,732.43
  5. Step 5: Solve for x
    x = 400,732.43/677.20
  6. Step 6: Final answer
    x = 591.75

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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.