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Finding the Fourth Proportional to 609.18, 912.68 and 415.86

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Solution

The fourth proportional to 609.18, 912.68 and 415.86 is: 623.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.18 : 912.68 = 415.86 : x
  2. Step 2: Convert to fraction form
    609.18/912.68 = 415.86/x
  3. Step 3: Cross multiply
    609.18x = 912.68 × 415.86
  4. Step 4: Simplify right side
    609.18x = 379,542.54
  5. Step 5: Solve for x
    x = 379,542.54/609.18
  6. Step 6: Final answer
    x = 623.04

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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.