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Finding the Fourth Proportional to 578.99, 867.33 and 270.42

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Solution

The fourth proportional to 578.99, 867.33 and 270.42 is: 405.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.99 : 867.33 = 270.42 : x
  2. Step 2: Convert to fraction form
    578.99/867.33 = 270.42/x
  3. Step 3: Cross multiply
    578.99x = 867.33 × 270.42
  4. Step 4: Simplify right side
    578.99x = 234,543.38
  5. Step 5: Solve for x
    x = 234,543.38/578.99
  6. Step 6: Final answer
    x = 405.09

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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.