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Finding the Fourth Proportional to 441.59, 609.38 and 255.07

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Solution

The fourth proportional to 441.59, 609.38 and 255.07 is: 351.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.59 : 609.38 = 255.07 : x
  2. Step 2: Convert to fraction form
    441.59/609.38 = 255.07/x
  3. Step 3: Cross multiply
    441.59x = 609.38 × 255.07
  4. Step 4: Simplify right side
    441.59x = 155,433.67
  5. Step 5: Solve for x
    x = 155,433.67/441.59
  6. Step 6: Final answer
    x = 351.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.