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Finding the Fourth Proportional to 644.85, 889.65 and 395.97

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Solution

The fourth proportional to 644.85, 889.65 and 395.97 is: 546.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.85 : 889.65 = 395.97 : x
  2. Step 2: Convert to fraction form
    644.85/889.65 = 395.97/x
  3. Step 3: Cross multiply
    644.85x = 889.65 × 395.97
  4. Step 4: Simplify right side
    644.85x = 352,274.71
  5. Step 5: Solve for x
    x = 352,274.71/644.85
  6. Step 6: Final answer
    x = 546.29

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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.