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Finding the Fourth Proportional to 644.31, 889.16 and 378.81

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Solution

The fourth proportional to 644.31, 889.16 and 378.81 is: 522.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.31 : 889.16 = 378.81 : x
  2. Step 2: Convert to fraction form
    644.31/889.16 = 378.81/x
  3. Step 3: Cross multiply
    644.31x = 889.16 × 378.81
  4. Step 4: Simplify right side
    644.31x = 336,820.81
  5. Step 5: Solve for x
    x = 336,820.81/644.31
  6. Step 6: Final answer
    x = 522.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.