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Finding the Fourth Proportional to 639.93, 959.34 and 274.96

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Solution

The fourth proportional to 639.93, 959.34 and 274.96 is: 412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.93 : 959.34 = 274.96 : x
  2. Step 2: Convert to fraction form
    639.93/959.34 = 274.96/x
  3. Step 3: Cross multiply
    639.93x = 959.34 × 274.96
  4. Step 4: Simplify right side
    639.93x = 263,782.36
  5. Step 5: Solve for x
    x = 263,782.36/639.93
  6. Step 6: Final answer
    x = 412.20

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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.