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Finding the Fourth Proportional to 640.10, 959.17 and 379.58

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Solution

The fourth proportional to 640.10, 959.17 and 379.58 is: 568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.10 : 959.17 = 379.58 : x
  2. Step 2: Convert to fraction form
    640.10/959.17 = 379.58/x
  3. Step 3: Cross multiply
    640.10x = 959.17 × 379.58
  4. Step 4: Simplify right side
    640.10x = 364,081.75
  5. Step 5: Solve for x
    x = 364,081.75/640.10
  6. Step 6: Final answer
    x = 568.79

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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.