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Finding the Fourth Proportional to 644.92, 967.41 and 280.01

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Solution

The fourth proportional to 644.92, 967.41 and 280.01 is: 420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.92 : 967.41 = 280.01 : x
  2. Step 2: Convert to fraction form
    644.92/967.41 = 280.01/x
  3. Step 3: Cross multiply
    644.92x = 967.41 × 280.01
  4. Step 4: Simplify right side
    644.92x = 270,886.89
  5. Step 5: Solve for x
    x = 270,886.89/644.92
  6. Step 6: Final answer
    x = 420.03

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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.