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Finding the Fourth Proportional to 567.82, 850.38 and 394.66

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Solution

The fourth proportional to 567.82, 850.38 and 394.66 is: 591.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.82 : 850.38 = 394.66 : x
  2. Step 2: Convert to fraction form
    567.82/850.38 = 394.66/x
  3. Step 3: Cross multiply
    567.82x = 850.38 × 394.66
  4. Step 4: Simplify right side
    567.82x = 335,610.97
  5. Step 5: Solve for x
    x = 335,610.97/567.82
  6. Step 6: Final answer
    x = 591.05

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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.