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Finding the Fourth Proportional to 622.11, 857.95 and 412.49

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Solution

The fourth proportional to 622.11, 857.95 and 412.49 is: 568.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.11 : 857.95 = 412.49 : x
  2. Step 2: Convert to fraction form
    622.11/857.95 = 412.49/x
  3. Step 3: Cross multiply
    622.11x = 857.95 × 412.49
  4. Step 4: Simplify right side
    622.11x = 353,893.73
  5. Step 5: Solve for x
    x = 353,893.73/622.11
  6. Step 6: Final answer
    x = 568.86

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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.