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Finding the Fourth Proportional to 644.24, 888.73 and 408.23

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Solution

The fourth proportional to 644.24, 888.73 and 408.23 is: 563.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.24 : 888.73 = 408.23 : x
  2. Step 2: Convert to fraction form
    644.24/888.73 = 408.23/x
  3. Step 3: Cross multiply
    644.24x = 888.73 × 408.23
  4. Step 4: Simplify right side
    644.24x = 362,806.25
  5. Step 5: Solve for x
    x = 362,806.25/644.24
  6. Step 6: Final answer
    x = 563.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.