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Finding the Fourth Proportional to 537.83, 806.12 and 440.49

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Solution

The fourth proportional to 537.83, 806.12 and 440.49 is: 660.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.83 : 806.12 = 440.49 : x
  2. Step 2: Convert to fraction form
    537.83/806.12 = 440.49/x
  3. Step 3: Cross multiply
    537.83x = 806.12 × 440.49
  4. Step 4: Simplify right side
    537.83x = 355,090.27
  5. Step 5: Solve for x
    x = 355,090.27/537.83
  6. Step 6: Final answer
    x = 660.23

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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.