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Finding the Fourth Proportional to 645.22, 889.41 and 411.94

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Solution

The fourth proportional to 645.22, 889.41 and 411.94 is: 567.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.22 : 889.41 = 411.94 : x
  2. Step 2: Convert to fraction form
    645.22/889.41 = 411.94/x
  3. Step 3: Cross multiply
    645.22x = 889.41 × 411.94
  4. Step 4: Simplify right side
    645.22x = 366,383.56
  5. Step 5: Solve for x
    x = 366,383.56/645.22
  6. Step 6: Final answer
    x = 567.84

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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.