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Finding the Fourth Proportional to 567.14, 850.50 and 270.62

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Solution

The fourth proportional to 567.14, 850.50 and 270.62 is: 405.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.14 : 850.50 = 270.62 : x
  2. Step 2: Convert to fraction form
    567.14/850.50 = 270.62/x
  3. Step 3: Cross multiply
    567.14x = 850.50 × 270.62
  4. Step 4: Simplify right side
    567.14x = 230,158.06
  5. Step 5: Solve for x
    x = 230,158.06/567.14
  6. Step 6: Final answer
    x = 405.83

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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.