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Finding the Fourth Proportional to 645.72, 968.96 and 255.76

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Solution

The fourth proportional to 645.72, 968.96 and 255.76 is: 383.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.72 : 968.96 = 255.76 : x
  2. Step 2: Convert to fraction form
    645.72/968.96 = 255.76/x
  3. Step 3: Cross multiply
    645.72x = 968.96 × 255.76
  4. Step 4: Simplify right side
    645.72x = 247,815.09
  5. Step 5: Solve for x
    x = 247,815.09/645.72
  6. Step 6: Final answer
    x = 383.78

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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.