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Finding the Fourth Proportional to 645.60, 968.57 and 280.46

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Solution

The fourth proportional to 645.60, 968.57 and 280.46 is: 420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.60 : 968.57 = 280.46 : x
  2. Step 2: Convert to fraction form
    645.60/968.57 = 280.46/x
  3. Step 3: Cross multiply
    645.60x = 968.57 × 280.46
  4. Step 4: Simplify right side
    645.60x = 271,638.90
  5. Step 5: Solve for x
    x = 271,638.90/645.60
  6. Step 6: Final answer
    x = 420.75

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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.