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Finding the Fourth Proportional to 644.04, 888.57 and 408.06

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Solution

The fourth proportional to 644.04, 888.57 and 408.06 is: 562.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.04 : 888.57 = 408.06 : x
  2. Step 2: Convert to fraction form
    644.04/888.57 = 408.06/x
  3. Step 3: Cross multiply
    644.04x = 888.57 × 408.06
  4. Step 4: Simplify right side
    644.04x = 362,589.87
  5. Step 5: Solve for x
    x = 362,589.87/644.04
  6. Step 6: Final answer
    x = 562.99

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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.