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Finding the Fourth Proportional to 408.29, 609.57 and 370.04

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Solution

The fourth proportional to 408.29, 609.57 and 370.04 is: 552.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.29 : 609.57 = 370.04 : x
  2. Step 2: Convert to fraction form
    408.29/609.57 = 370.04/x
  3. Step 3: Cross multiply
    408.29x = 609.57 × 370.04
  4. Step 4: Simplify right side
    408.29x = 225,562.23
  5. Step 5: Solve for x
    x = 225,562.23/408.29
  6. Step 6: Final answer
    x = 552.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.