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Finding the Fourth Proportional to 641.23, 960.85 and 380.71

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Solution

The fourth proportional to 641.23, 960.85 and 380.71 is: 570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.23 : 960.85 = 380.71 : x
  2. Step 2: Convert to fraction form
    641.23/960.85 = 380.71/x
  3. Step 3: Cross multiply
    641.23x = 960.85 × 380.71
  4. Step 4: Simplify right side
    641.23x = 365,805.20
  5. Step 5: Solve for x
    x = 365,805.20/641.23
  6. Step 6: Final answer
    x = 570.47

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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.