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Finding the Fourth Proportional to 645.87, 968.27 and 280.39

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Solution

The fourth proportional to 645.87, 968.27 and 280.39 is: 420.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.87 : 968.27 = 280.39 : x
  2. Step 2: Convert to fraction form
    645.87/968.27 = 280.39/x
  3. Step 3: Cross multiply
    645.87x = 968.27 × 280.39
  4. Step 4: Simplify right side
    645.87x = 271,489.40
  5. Step 5: Solve for x
    x = 271,489.40/645.87
  6. Step 6: Final answer
    x = 420.35

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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.