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Finding the Fourth Proportional to 639.94, 960.09 and 347.38

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Solution

The fourth proportional to 639.94, 960.09 and 347.38 is: 521.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.94 : 960.09 = 347.38 : x
  2. Step 2: Convert to fraction form
    639.94/960.09 = 347.38/x
  3. Step 3: Cross multiply
    639.94x = 960.09 × 347.38
  4. Step 4: Simplify right side
    639.94x = 333,516.06
  5. Step 5: Solve for x
    x = 333,516.06/639.94
  6. Step 6: Final answer
    x = 521.17

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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.