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Finding the Fourth Proportional to 645.41, 968.30 and 255.17

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Solution

The fourth proportional to 645.41, 968.30 and 255.17 is: 382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.41 : 968.30 = 255.17 : x
  2. Step 2: Convert to fraction form
    645.41/968.30 = 255.17/x
  3. Step 3: Cross multiply
    645.41x = 968.30 × 255.17
  4. Step 4: Simplify right side
    645.41x = 247,081.11
  5. Step 5: Solve for x
    x = 247,081.11/645.41
  6. Step 6: Final answer
    x = 382.83

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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.