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Finding the Fourth Proportional to 609.08, 912.38 and 392.80

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Solution

The fourth proportional to 609.08, 912.38 and 392.80 is: 588.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.08 : 912.38 = 392.80 : x
  2. Step 2: Convert to fraction form
    609.08/912.38 = 392.80/x
  3. Step 3: Cross multiply
    609.08x = 912.38 × 392.80
  4. Step 4: Simplify right side
    609.08x = 358,382.86
  5. Step 5: Solve for x
    x = 358,382.86/609.08
  6. Step 6: Final answer
    x = 588.40

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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.