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Finding the Fourth Proportional to 639.17, 959.23 and 475.02

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Solution

The fourth proportional to 639.17, 959.23 and 475.02 is: 712.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.17 : 959.23 = 475.02 : x
  2. Step 2: Convert to fraction form
    639.17/959.23 = 475.02/x
  3. Step 3: Cross multiply
    639.17x = 959.23 × 475.02
  4. Step 4: Simplify right side
    639.17x = 455,653.43
  5. Step 5: Solve for x
    x = 455,653.43/639.17
  6. Step 6: Final answer
    x = 712.88

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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.