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Finding the Fourth Proportional to 645.49, 967.83 and 280

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Solution

The fourth proportional to 645.49, 967.83 and 280 is: 419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.49 : 967.83 = 280 : x
  2. Step 2: Convert to fraction form
    645.49/967.83 = 280/x
  3. Step 3: Cross multiply
    645.49x = 967.83 × 280
  4. Step 4: Simplify right side
    645.49x = 270,992.40
  5. Step 5: Solve for x
    x = 270,992.40/645.49
  6. Step 6: Final answer
    x = 419.82

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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.