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Finding the Fourth Proportional to 644.76, 889.92 and 411.48

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Solution

The fourth proportional to 644.76, 889.92 and 411.48 is: 567.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.76 : 889.92 = 411.48 : x
  2. Step 2: Convert to fraction form
    644.76/889.92 = 411.48/x
  3. Step 3: Cross multiply
    644.76x = 889.92 × 411.48
  4. Step 4: Simplify right side
    644.76x = 366,184.28
  5. Step 5: Solve for x
    x = 366,184.28/644.76
  6. Step 6: Final answer
    x = 567.94

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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.