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Finding the Fourth Proportional to 645.63, 968.66 and 280.41

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Solution

The fourth proportional to 645.63, 968.66 and 280.41 is: 420.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.63 : 968.66 = 280.41 : x
  2. Step 2: Convert to fraction form
    645.63/968.66 = 280.41/x
  3. Step 3: Cross multiply
    645.63x = 968.66 × 280.41
  4. Step 4: Simplify right side
    645.63x = 271,620.55
  5. Step 5: Solve for x
    x = 271,620.55/645.63
  6. Step 6: Final answer
    x = 420.71

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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.