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Finding the Fourth Proportional to 567.97, 850.85 and 422.06

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Solution

The fourth proportional to 567.97, 850.85 and 422.06 is: 632.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.97 : 850.85 = 422.06 : x
  2. Step 2: Convert to fraction form
    567.97/850.85 = 422.06/x
  3. Step 3: Cross multiply
    567.97x = 850.85 × 422.06
  4. Step 4: Simplify right side
    567.97x = 359,109.75
  5. Step 5: Solve for x
    x = 359,109.75/567.97
  6. Step 6: Final answer
    x = 632.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.