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Finding the Fourth Proportional to 644.97, 890.28 and 382.98

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Solution

The fourth proportional to 644.97, 890.28 and 382.98 is: 528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.97 : 890.28 = 382.98 : x
  2. Step 2: Convert to fraction form
    644.97/890.28 = 382.98/x
  3. Step 3: Cross multiply
    644.97x = 890.28 × 382.98
  4. Step 4: Simplify right side
    644.97x = 340,959.43
  5. Step 5: Solve for x
    x = 340,959.43/644.97
  6. Step 6: Final answer
    x = 528.64

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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.