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Finding the Fourth Proportional to 645.20, 968.22 and 280.02

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Solution

The fourth proportional to 645.20, 968.22 and 280.02 is: 420.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.20 : 968.22 = 280.02 : x
  2. Step 2: Convert to fraction form
    645.20/968.22 = 280.02/x
  3. Step 3: Cross multiply
    645.20x = 968.22 × 280.02
  4. Step 4: Simplify right side
    645.20x = 271,120.96
  5. Step 5: Solve for x
    x = 271,120.96/645.20
  6. Step 6: Final answer
    x = 420.22

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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.