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Finding the Fourth Proportional to 641.56, 960.70 and 397.34

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Solution

The fourth proportional to 641.56, 960.70 and 397.34 is: 594.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.56 : 960.70 = 397.34 : x
  2. Step 2: Convert to fraction form
    641.56/960.70 = 397.34/x
  3. Step 3: Cross multiply
    641.56x = 960.70 × 397.34
  4. Step 4: Simplify right side
    641.56x = 381,724.54
  5. Step 5: Solve for x
    x = 381,724.54/641.56
  6. Step 6: Final answer
    x = 594.99

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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.