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Finding the Fourth Proportional to 640.86, 961.48 and 381.10

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Solution

The fourth proportional to 640.86, 961.48 and 381.10 is: 571.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.86 : 961.48 = 381.10 : x
  2. Step 2: Convert to fraction form
    640.86/961.48 = 381.10/x
  3. Step 3: Cross multiply
    640.86x = 961.48 × 381.10
  4. Step 4: Simplify right side
    640.86x = 366,420.03
  5. Step 5: Solve for x
    x = 366,420.03/640.86
  6. Step 6: Final answer
    x = 571.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.