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Finding the Fourth Proportional to 639.90, 959.90 and 274.70

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Solution

The fourth proportional to 639.90, 959.90 and 274.70 is: 412.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.90 : 959.90 = 274.70 : x
  2. Step 2: Convert to fraction form
    639.90/959.90 = 274.70/x
  3. Step 3: Cross multiply
    639.90x = 959.90 × 274.70
  4. Step 4: Simplify right side
    639.90x = 263,684.53
  5. Step 5: Solve for x
    x = 263,684.53/639.90
  6. Step 6: Final answer
    x = 412.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.