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Finding the Fourth Proportional to 644.16, 889.05 and 382.14

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Solution

The fourth proportional to 644.16, 889.05 and 382.14 is: 527.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.16 : 889.05 = 382.14 : x
  2. Step 2: Convert to fraction form
    644.16/889.05 = 382.14/x
  3. Step 3: Cross multiply
    644.16x = 889.05 × 382.14
  4. Step 4: Simplify right side
    644.16x = 339,741.57
  5. Step 5: Solve for x
    x = 339,741.57/644.16
  6. Step 6: Final answer
    x = 527.42

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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.