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Finding the Fourth Proportional to 594.67, 892.14 and 270.09

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Solution

The fourth proportional to 594.67, 892.14 and 270.09 is: 405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.67 : 892.14 = 270.09 : x
  2. Step 2: Convert to fraction form
    594.67/892.14 = 270.09/x
  3. Step 3: Cross multiply
    594.67x = 892.14 × 270.09
  4. Step 4: Simplify right side
    594.67x = 240,958.09
  5. Step 5: Solve for x
    x = 240,958.09/594.67
  6. Step 6: Final answer
    x = 405.20

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