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Finding the Fourth Proportional to 644.14, 888.90 and 382.16

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Solution

The fourth proportional to 644.14, 888.90 and 382.16 is: 527.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.14 : 888.90 = 382.16 : x
  2. Step 2: Convert to fraction form
    644.14/888.90 = 382.16/x
  3. Step 3: Cross multiply
    644.14x = 888.90 × 382.16
  4. Step 4: Simplify right side
    644.14x = 339,702.02
  5. Step 5: Solve for x
    x = 339,702.02/644.14
  6. Step 6: Final answer
    x = 527.38

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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.