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Finding the Fourth Proportional to 609.24, 912.24 and 476.14

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Solution

The fourth proportional to 609.24, 912.24 and 476.14 is: 712.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.24 : 912.24 = 476.14 : x
  2. Step 2: Convert to fraction form
    609.24/912.24 = 476.14/x
  3. Step 3: Cross multiply
    609.24x = 912.24 × 476.14
  4. Step 4: Simplify right side
    609.24x = 434,353.95
  5. Step 5: Solve for x
    x = 434,353.95/609.24
  6. Step 6: Final answer
    x = 712.94

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Why These Related Problems?

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