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Finding the Fourth Proportional to 645.72, 969.05 and 280.41

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Solution

The fourth proportional to 645.72, 969.05 and 280.41 is: 420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.72 : 969.05 = 280.41 : x
  2. Step 2: Convert to fraction form
    645.72/969.05 = 280.41/x
  3. Step 3: Cross multiply
    645.72x = 969.05 × 280.41
  4. Step 4: Simplify right side
    645.72x = 271,731.31
  5. Step 5: Solve for x
    x = 271,731.31/645.72
  6. Step 6: Final answer
    x = 420.82

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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.