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Finding the Fourth Proportional to 644.88, 967.64 and 280

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Solution

The fourth proportional to 644.88, 967.64 and 280 is: 420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.88 : 967.64 = 280 : x
  2. Step 2: Convert to fraction form
    644.88/967.64 = 280/x
  3. Step 3: Cross multiply
    644.88x = 967.64 × 280
  4. Step 4: Simplify right side
    644.88x = 270,939.20
  5. Step 5: Solve for x
    x = 270,939.20/644.88
  6. Step 6: Final answer
    x = 420.14

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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.