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Finding the Fourth Proportional to 609.54, 914.15 and 262.99

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Solution

The fourth proportional to 609.54, 914.15 and 262.99 is: 394.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.54 : 914.15 = 262.99 : x
  2. Step 2: Convert to fraction form
    609.54/914.15 = 262.99/x
  3. Step 3: Cross multiply
    609.54x = 914.15 × 262.99
  4. Step 4: Simplify right side
    609.54x = 240,410.99
  5. Step 5: Solve for x
    x = 240,410.99/609.54
  6. Step 6: Final answer
    x = 394.42

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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.