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Finding the Fourth Proportional to 639.87, 959.97 and 380.10

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Solution

The fourth proportional to 639.87, 959.97 and 380.10 is: 570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.87 : 959.97 = 380.10 : x
  2. Step 2: Convert to fraction form
    639.87/959.97 = 380.10/x
  3. Step 3: Cross multiply
    639.87x = 959.97 × 380.10
  4. Step 4: Simplify right side
    639.87x = 364,884.60
  5. Step 5: Solve for x
    x = 364,884.60/639.87
  6. Step 6: Final answer
    x = 570.25

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Why These Related Problems?

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