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Finding the Fourth Proportional to 645.64, 967.82 and 280.12

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Solution

The fourth proportional to 645.64, 967.82 and 280.12 is: 419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.64 : 967.82 = 280.12 : x
  2. Step 2: Convert to fraction form
    645.64/967.82 = 280.12/x
  3. Step 3: Cross multiply
    645.64x = 967.82 × 280.12
  4. Step 4: Simplify right side
    645.64x = 271,105.74
  5. Step 5: Solve for x
    x = 271,105.74/645.64
  6. Step 6: Final answer
    x = 419.90

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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.