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Finding the Fourth Proportional to 567.74, 850.82 and 323.75

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Solution

The fourth proportional to 567.74, 850.82 and 323.75 is: 485.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.74 : 850.82 = 323.75 : x
  2. Step 2: Convert to fraction form
    567.74/850.82 = 323.75/x
  3. Step 3: Cross multiply
    567.74x = 850.82 × 323.75
  4. Step 4: Simplify right side
    567.74x = 275,447.10
  5. Step 5: Solve for x
    x = 275,447.10/567.74
  6. Step 6: Final answer
    x = 485.17

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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.